Question

do not write answers on the testing booklet probables
respond to each question. write your answer in the space provided. make sure to show all your work.

1. your cousin has a savings account with a balance of $200. she deposits $25 each month. which equation represents her balance, y, after x months?

a. y = 200 + 25
b. y = 200 + 10
c. y = 200 + 50
d. y = 200 - 25

1. for the graph, what is the equation in slope - intercept form?

a. y = \frac{1}{2}x + 1
b. y = 3x + 2
c. y = 2x + 1
d. y = -\frac{1}{2}x + 1

1. chen filled the table of values. write the equation that represents joan adding photos to her album each month. time (months) and photos are given as a table:

time (months): 4, 8, 12, 16
photos: 72, 120, 168, 216
a. y = 12x + 72
b. y = 12x + 24
c. y = 4x + 72
d. y = 9x + 24
topic 5 - more linear functions

1. use point - slope form to write an equation through (6, - 3) with a slope of \frac{1}{2}.

a. y + 3 = \frac{1}{2}(x - 6)
b. y - 3 = \frac{1}{2}(x + 6)
c. y - 6 = \frac{1}{2}(x + 3)
d. y + 6 = \frac{1}{2}(x - 3)

Explanation:

Question 19

Step1: Define variables

Let $x$ = number of months, $y$ = total cost.

Step2: Identify fixed/variable cost

Fixed cost: $\$30$, variable cost: $\$50$ per month.

Step3: Build linear equation

$y = 50x + 30$

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Question 20

Step1: Find y-intercept

From graph, $b=1$ (crosses y-axis at $(0,1)$).

Step2: Calculate slope

Use points $(0,1)$ and $(3,2)$: $m=\frac{2-1}{3-0}=\frac{1}{3}$.

Step3: Write slope-intercept form

$y = mx + b = \frac{1}{3}x + 1$

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Question 21

Step1: Define variables

Let $x$ = time (months), $y$ = total photos.

Step2: Find initial photos (y-intercept)

When $x=0$, $y=24$ (base photos before adding).

Step3: Calculate slope (rate)

Slope $m=\frac{72-24}{4-0}=\frac{48}{4}=1.2$ photos/month.

Step4: Build linear equation

$y = 1.2x + 24$

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Question 22

Answer:

A. $y = 50x + 30$