Gina has borrowed 100 songs from her friend. She plans to download an equal number of songs on her music player each week for 5 weeks. The graph shows the number of songs left to download, y, for a certain number of weeks, x:

Part A: What is the rate of change and initial value of the function represented by the graph, and what do they represent in this scenario? Show your work to find the rate of change and initial value. (6 points)

Answer:

A. initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week

B. y = -20x + 100

Step-by-step explanation:

A. The initial value of the function represented by the graph is its y-intercept point, that is, the value at which the function intercepts y-axis. In this case, this value is 100 songs. It represents the number of songs left before start to download them.

The rate of change is computed at follows:

[f(x2) - f(x1)]/(x2 - x1)

where (x1, f(x1)) and (x2, f(x2)) are two points on the line. Using (0, 100) and (1, 80), we get:

rate of change (80 - 100)/(1 - 0) = -20

This means that each week there are 20 songs less than the previous week.

B. In general terms, the slope-intercept form is:

y = mx + b

where m is the slope (which coincides with the rate of change), and b is the y-intercept (or initial value). Replacing with the results of part A:

y = -20x + 100

Step-by-step explanation:

Answer:

y = -20x + 100

Step-by-step explanation:

As per your requirement For Part B, the solution is

The equation in slope-intercept form to model the relations is below:-

To reach 2 points on the graph the line passes through

lets use p1(0, 100), p2(1, 80)

now we will compute the slope:

= -20

and now use line equation in form point-slope:

y - y1 = m(x - x1)

y - 100 = -20(x - 0)

y = -20x + 100

Tanya's car will go 45 meters on 7 gallons. Tanya wants to know how fuel-efficient the car is. Please help by computing the ratio.

A. 6.43 meters/gallon

B. 0.64 gallons/meter

C. 6.43 gallons/meter

D. 0.64 meters/gallon

i need help on graphing

please help me with this

Does anyone know this? I think it’s C but I might be wrong so I’m just checking my answer

PLEASE HELP ME! I gotta get this done before the 1st!!!

An Italian restaurant serves the same number of meatballs on each plate of spaghetti. The table shows the relationship between the number of spaghetti plates, p, and the number of meatballs, m. With this information, which expression can be used to find m?

A. p + 18
B. p · 6
C. [tex]\frac{1}{6}[/tex] · p
D. p - 20

what is the solution?

PLEASE HELP ME. I NEED IT and f so could u help me explain it

Remember to explain your answer to receive full credit.



A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at a constant speed. Mai says “The snail was traveling faster because it went a greater distance.” Do you agree with Mai? Explain your reasoning.





If you blend 2 scoops of chocolate ice cream with 1 cup of milk, you will get a milkshake with a stronger chocolate flavor than if you blend 3 scoops of chocolate ice cream with 2 cups of milk. Explain or show why.


There are 2 mixtures of light purple paint.

Mixture A is made with 5 cups of purple paint and 2 cups of white paint.

Mixture B is made with 15 cups of purple paint and 8 cups of white paint.

Which mixture is a lighter shade of purple? Explain your reasoning.

ok, last time since I got a brain of a fly help if you want I don't mind.
Celina built a model of a triangular pyramid. The model's height is shown in the diagram.

If the volume of Celina's model is 96.37 cubic centimeters, what is the area of the triangular base in square centimeters?

Round answer to the nearest hundredth.

A. 12.85 square centimeters

B. 4.28 square centimeters

C. 240.925 square centimeters

D. 38.55 square centimeters

Write an equation to represent the proportional relationship between the # of Vegetable Plants (x) and the # of Flowers (y).

pleas help i a haveing truble solving this

An economist creates a scatter plot comparing years of experience to yearly salary (in dollars) at a particular company. The trend line through the data can be described by the equation y = 4,000x + 20,000.

What is the initial value and what does it mean?

Question 1 options:

4000; For their every year of experience an employee has, their salary goes up by this amount.


20000; Regardless of how much experience an employee has, this is the minimum amount the employee will earn at this company.


4000; Regardless of how much experience an employee has, this is the minimum amount the employee will earn at this company.


20000; For their every year of experience an employee has, their salary goes up by this amount.

Question 2 (1 point)
An economist creates a scatter plot comparing years of experience to yearly salary (in dollars) at a particular company. The trend line through the data can be described by the equation y = 4,000x + 20,000.

If someone has a yearly salary of $52,000, to the nearest whole year, how many years of experience do they have?

Question 2 options:

8


228


13


2

find the area pls need help

Which statement compares the two numbers correctly?

6 + 0.4 + 0.009 ________ 6 + 0.07 + 0.009

6 + 0.07 + 0.009 > 6 + 0.4 + 0.009
6 + 0.07 + 0.009 = 6 + 0.4 + 0.009
6 + 0.4 + 0.009 > 6 + 0.07 + 0.009
6 + 0.4 + 0.009 < 6 + 0.07 + 0.009

Paul's car will go 49 kilometers on 7 tanks. Paul wants to know how fuel-efficient the car is. Please help by computing the ratio. (round to 2 decimal places)

A. 7 kilometers/tank

B. 0.7 tanks/kilometer

C. 7 tanks/kilometer

D. 0.7 kilometers/tank

If a car travels 123 miles in 3 hours, how many miles will the car drive in 5 hours help?

Which of the following possibilities will form a triangle? (1 point)

Question 4 options:

1) Side = 10 cm, side = 5 cm, side = 6 cm

2) Side = 10 cm, side = 6 cm, side = 3 cm

3) Side = 11 cm, side = 5 cm, side = 6 cm

4) Side = 11 cm, side = 5 cm, side = 5 cm

A bag contains lettered tiles. The theoretical probability of choosing a vowel is 40%. The bag contains 72 consonants. How many tiles are in the bag?

Take a look at the picture and answer correctly so i can mark you as brainliest.

Mrs. Butter is a wonderful baker and she makes delicious cookies. Last Saturday she sold 72 peanut butter cookies. She also sold some oatmeal cookies. If the ratio of peanut better cookies to oatmeal cookies is 9:1, how many peanut butter and oatmeal cookies did she sell altogether?

(SHOW/TELL WORK)

How many two-digit numbers can be formed
using only the numbers 0, 1, 2, 3, or 4 without
repeat?

Hi help if you can..........

help pls I have to type the answer​

please please help it's due in half an hour and I have a lot left to do!!!
Donna and Kirk are testing two elevators in a high rise building. Donna gets in elevator #1 and does the following:
 Goes up 29 floors
 Goes down 8 floors
 Rises 12 floors
 Descends 21 floors
 Ascends 6 floors
 Donna gets off the elevator At the same time, Kirk gets in elevator #2 and does the following:
 Goes up 10 floors
 Descends 14 floors
 Ascends 25 floors
 Rises 4 floors
 Goes down 7 floors
 Kirk gets off the elevator
a. Donna traveled to the highest floor in the building.What integer would represent the highest floor?
b. Kirk went to the lowest floor in the building. What integer would represent the lowest floor?
c.What floor did Donna get off the elevator?
d.What floor did Kirk get off the elevator? How many floors apart are Donna and Kirk?

9) Use Distributive Property and Combine Like Terms to simplify the expression below
HELP ASAP PLZ PLZ

answer please and thank you
Mark and Suzie are using a bucket to empty their flooded basement. Each bucket holds five cubic feet of water and it takes 112 full buckets to completely empty all the water from the basement. If the basement is 14 feet wide and 20 feet long, how deep was the water when Mark and Suzie began their task?

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Factor 12 inches/ 1 foot

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