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Exploring Slope-Intercept Form in Real-Life Scenarios

Authored by Anthony Clark

English, Mathematics

8th Grade

CCSS covered

Used 1+ times

Exploring Slope-Intercept Form in Real-Life Scenarios
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. Write the equation in slope-intercept form to represent the total cost (C) as a function of miles driven (m). What is the slope and y-intercept?

Slope: 0.50, Y-intercept: 30

Slope: 30, Y-intercept: 0.20

Slope: 0.20, Y-intercept: 30

Slope: 0.20, Y-intercept: 50

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A phone company offers a plan that costs $50 per month plus $0.10 per text message sent. Write the equation in slope-intercept form for the total cost (C) based on the number of text messages (t). Identify the slope and intercept.

C = 0.10t + 50; Slope: 0.10, Intercept: 50

C = 50t + 0.10; Slope: 50, Intercept: 0.10

C = 0.05t + 50; Slope: 0.05, Intercept: 50

C = 0.10t + 100; Slope: 0.10, Intercept: 100

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A gym charges a monthly membership fee of $40 and an additional $5 for each class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c). What do the slope and intercept represent?

C = 5c + 30; Slope = 5, Intercept = 30

C = 4c + 40; Slope = 4, Intercept = 40

C = 5c + 40; Slope = 5 (cost per class), Intercept = 40 (monthly fee)

C = 10c + 20; Slope = 10, Intercept = 20

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Two friends are saving money for a concert. Friend A saves $15 a week, while Friend B saves $10 a week. Write the equations in slope-intercept form for each friend's savings (S) based on the number of weeks (w). What is the slope for each friend?

Friend B: S = 15w (slope = 15)

Friend A: S = 15w (slope = 15), Friend B: S = 10w (slope = 10)

Friend A: S = 10w (slope = 10)

Friend A: S = 20w (slope = 20)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A bakery sells cupcakes for $3 each and cookies for $2 each. If a customer buys a total of 10 items for $24, write a system of equations in slope-intercept form to represent the situation. Identify the slope and intercept of each equation.

y = -0.5x + 5 (slope -0.5, intercept 5)

y = -3x + 15 (slope -3, intercept 15)

y = -2x + 8 (slope -2, intercept 8)

1) y = -1x + 10 (slope -1, intercept 10), 2) y = -1.5x + 12 (slope -1.5, intercept 12)

Tags

CCSS.8.EE.C.8C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A school is selling tickets for a play. The tickets cost $8 each, and they also have a special deal where you can buy 3 tickets for $20. Write the equations in slope-intercept form for both pricing options. What do the slopes represent?

y = 8x for regular tickets; y = (20/3)x for special deal tickets.

y = 10x for regular tickets; y = (25/3)x for special deal tickets.

y = 12x for regular tickets; y = (30/3)x for special deal tickets.

y = 5x for regular tickets; y = (15/3)x for special deal tickets.

Tags

CCSS.8.EE.B.5

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A delivery service charges a base fee of $5 plus $1.50 per mile. Write the equation in slope-intercept form for the total cost (C) based on the distance (d) in miles. Identify the slope and intercept.

C = 3d + 2; Slope: 3, Intercept: 2

C = 1.50d + 5; Slope: 1.50, Intercept: 5

C = 1.50d + 10; Slope: 1.50, Intercept: 10

C = 2d + 5; Slope: 2, Intercept: 5

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