Exploring Slope and Intercept in Real-Life Scenarios
Authored by Anthony Clark
English, Mathematics
8th Grade
CCSS covered
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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 for the total cost (C) in terms of miles driven (m). What is the slope and what does it represent?
C = 30 + 0.20m; Slope = 0.20 (cost per mile)
C = 30 + 0.20m; Slope = 30 (fixed cost)
C = 30 + 0.10m; Slope = 0.10 (cost per mile)
C = 30 + 0.50m; Slope = 0.50 (cost per mile)
Tags
CCSS.HSF.LE.B.5
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A local gym charges a monthly membership fee of $50 and an additional $10 for each fitness class attended. Write the equation for the total cost (C) in terms of classes attended (c). What is the y-intercept and what does it represent?
C = 50 + 10c; y-intercept = 50, representing the base membership fee.
C = 50c + 10; y-intercept = 10, representing the cost per class.
C = 10 + 50c; y-intercept = 10, representing the total cost of classes.
C = 50 + 5c; y-intercept = 50, representing a discount on classes.
Tags
CCSS.HSF.LE.B.5
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Two friends are selling lemonade. Friend A sells lemonade for $2 per cup, while Friend B sells it for $3 per cup. Write the equations for their total earnings (E) based on the number of cups sold (x). Are their lines parallel or perpendicular?
E_A = 2x + 1 and E_B = 3x + 1; lines are perpendicular
The equations are E_A = 2x and E_B = 3x. The lines are neither parallel nor perpendicular.
E_A = 3x and E_B = 2x; lines are parallel
E_A = 2x and E_B = 2x; lines are parallel
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A school is planning a field trip. The cost per student is $15 for transportation and $5 for admission. Write the equation for the total cost (C) in terms of the number of students (s). What is the slope and what does it represent?
C = 15s + 5
C = 20s
C = 10s
C = 25s
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A taxi company charges a base fare of $4 plus $1.50 per mile. Write the equation for the total fare (F) in terms of miles driven (m). If another taxi company charges a base fare of $5 plus $1.50 per mile, are their lines parallel or perpendicular?
The lines are parallel.
The lines intersect at a right angle.
The lines are perpendicular.
The lines are not related.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer sells apples for $1.50 per pound and oranges for $2.00 per pound. Write the equations for the total revenue (R) from selling apples (a) and oranges (o). How do the slopes compare?
R = 1.50a for apples and R = 2.00o for oranges; the slope for oranges (2.00) is greater than for apples (1.50).
R = 1.50o for oranges and R = 2.00a for apples; the slope for apples (2.00) is greater than for oranges (1.50).
R = 1.50a + 2.00o; the slope for apples (1.50) is less than for oranges (2.50).
R = 1.00a for apples and R = 2.50o for oranges; the slopes are equal.
Tags
CCSS.8.F.A.2
CCSS.HSF.IF.C.9
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A concert venue has a seating capacity of 500. If tickets are sold for $20 each, write the equation for total revenue (R) in terms of tickets sold (t). What is the y-intercept and what does it represent?
R = 25t; y-intercept = 500, representing total revenue at full capacity.
R = 10t; y-intercept = 10, representing revenue when 10 tickets are sold.
R = 20t; y-intercept = 0, representing no revenue when no tickets are sold.
R = 20t + 100; y-intercept = 100, representing a base revenue regardless of ticket sales.
Tags
CCSS.HSF.LE.B.5
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