Answers2025-2026_MDCPS_1205070-MJ Grade 8 Pre-Algebra Sem 1-CRInterpreting Graphs

Writing Linear Functions Answers

10 verified answers1 views
1
Free Preview

Which point on the graph represents the y-intercept?

Question illustration
A
V
B
W
C
Y
D
Z
2
Free Preview

What is the slope and the y-intercept of the line on the graph below?

Question illustration
A
slope = –4, y-intercept = 1
B
slope = –4, y-intercept = 4
C
slope = , y-intercept = 1
Option C
D
slope = , y-intercept = 4
Option D
3

The estimated total cost, y, of a child’s toy is partially based on the number of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?

A
y = 12x + 0.75
B
y = 0.75x + 12
C
y = 12x – 0.75
D
y = 0.75x – 12
4

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of the sand dune after x years. Which equation represents the situation?

A
y = negative StartFraction 1 Over 20 EndFraction x minus 5
Option A
B
y = negative StartFraction 1 Over 20 EndFraction x + 5
Option B
C
y = negative 20 x minus 5
Option C
D
y = negative 20 x + 5
Option D
5

Mrs. Jacobson asked her students to write a word problem that describes the graph below.Which word problem accurately describes the graph?

Question illustration
A
Jamie has $8, and she pays $2 per day to ride the bus.
B
Melinda has $4 and earns $2 allowance per day doing chores.
C
Carrina has $8, and she earns $2 per day babysitting.
D
Louise has $4, and she pays $2 per day for school lunch.
6

Four students graphed one linear function each.RhettCameronEllisBradenWhich student graphed a linear function with a y-intercept at –4?

Question illustration
A
Rhett
B
Cameron
C
Ellis
D
Braden
7

Which statements accurately describe how to determine the y-intercept and the slope from the graph below?

Question illustration
A
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option A
B
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option B
C
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option C
D
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation .
Option D
8

Eric earns a weekly salary and a commission on each item that he sells. The equation y = 10x + 50 represents the amount of money that Eric earns weekly. Bailey earns a greater weekly salary than Eric but the same commission rate. Which graph could represent the amount of money that Bailey earns weekly, y, based on the number of items sold, x?

A
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (5, 125), (10, 175).
Option A
B
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (1, 75), (2, 100).
Option B
C
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 75), (1, 100), (2, 125).
Option C
D
A graph titled Bailey's Weekly Earnings has items sold on the x-axis and total earned on the y-axis. A line goes through points (0, 50), (5, 100), (10, 150).
Option D
9

What is the slope and equation of a line through the points (0, 9) and (3, 0)?

A
; y = –3x + 9
Option A
B
; y = –3x + 3
Option B
C
;
Option C
D
;
Option D
10

A teacher has a 2-gallon (32-cup) container of juice. She gives each student cup of juice. Which equation represents the amount of juice that remains, y, after x students are served?

Question illustration
A
y = 32 x minus one-half
Option A
B
y = one-half x minus 32
Option B
C
y = negative one-half x + 32
Option C
D
y = negative 32 x + one-half
Option D

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Comparing Functions in the Real World

Quiz
10 verified answers

Unit Test

Quiz
10 verified answers

Introduction to Functions

Writing Linear Functions Answers —…