Question

The cost of renting a video game is $4 per a day, plus a $3 rental fee. If Jonathan has $12 to spend, what is the maximum number of days he can rent the video game? What is the rate of change, y-intercept, & equation in slope intercept form?

Answer 1

Since days of the week are whole numbers. Then The maximum number of days Johnathan can keep with the video game is 2 days

f(x) = 4x +3

The y-intercept is given by the linear coefficient b =3

the equation in the slope-intercept form is y=4x +3

The rate of change is m=4

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Gathering the data

Cost of rental

4d + 3

Johnathan has $12

2) Let's write the equation

4d+3 = 12

4d = 9

d=9/4

d =2.25

Since days of the week are whole numbers. Then The maximum number of days Johnathan can keep with the video game is 2 days

3) Writing that equation as a function we have

f(d) = 4d +3 or using x and y

f(x) = 4x +3

The y-intercept is given by the linear coefficient b =3

the equation in the slope-intercept form is y=4x +3

The rate of change is m=4

Let's pick two points (-3/4, 0) (0,3) we can find the average rate of change between two points using that formula below: