Slope-Intercept Form: Real-World Applications & Interpretations

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form and interpret the slope in this context.

• C = 20m + 0.15; The slope (20) indicates the cost per mile is $20.

• C = 0.10m + 20; The slope (0.10) indicates that for each additional mile driven, the cost increases by $0.10.

• C = 0.15m + 20; The slope (0.15) indicates that for each additional mile driven, the cost increases by $0.15.

• C = 0.15m + 10; The slope (0.15) indicates that for each additional mile driven, the cost decreases by $0.15.

Tags

CCSS.HSF.LE.B.5

A taxi service charges a base fare of $2.50 and $0.50 for each mile driven. Write the equation in slope-intercept form and describe the meaning of the slope.

• y = 0.50x + 2.50

• y = 2.50x + 0.50

• y = 0.50x + 5.00

• y = 0.25x + 2.50

A phone plan costs $25 per month plus $0.10 for each text message sent. Convert this to slope-intercept form and interpret the slope in real-world terms.

• y = 0.10x + 30; the slope is 0.10, indicating the cost increases by $0.10 for each call made.

• y = 0.25x + 25; the slope is 0.25, indicating the cost increases by $0.25 for each text message.

• y = 0.10x + 25; the slope is 0.10, indicating the cost increases by $0.10 for each text message.

• y = 0.05x + 25; the slope is 0.05, indicating the cost increases by $0.05 for each text message.

A subscription service charges $15 per month plus $1 for each additional movie rented. Convert this to slope-intercept form and interpret the slope in context.

• The slope is 15, indicating a flat fee for renting movies.

• The slope is 0, meaning the cost does not change with additional rentals.

• The slope is 2, suggesting the cost increases by $2 for each additional movie.

• The slope is 1, which means for each additional movie rented, the total cost increases by $1.

A school fundraiser sells cookies for $5 each and has a fixed cost of $10. Write the equation in slope-intercept form and describe what the slope indicates about the sales.

• y = 5x - 10

• y = 5x - 5

• y = 5x + 10

• y = 10x + 5

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

A concert ticket costs $50 plus a $5 service fee. Convert this to slope-intercept form and explain the meaning of the slope in this scenario.

• C = 5x + 45, where the slope is 0.

• C = 10x + 50, where the slope is 10.

• C = 5x + 50, where the slope is 5.

• C = 50x + 5, where the slope is 50.

A landscaping company charges a flat fee of $100 plus $25 per hour of work. Write the equation in slope-intercept form and interpret the slope in context.

• y = 25x; slope = 25 (total cost)

• y = 50x + 100; slope = 50 (cost per hour)

• y = 100x + 25; slope = 100 (cost per hour)

• y = 25x + 100; slope = 25 (cost per hour)

A local bakery sells cupcakes for $3 each and has a fixed cost of $12. Convert this to slope-intercept form and explain what the slope represents.

• y = 3x + 10

• y = 3x - 12

• y = 3x + 12

• y = 12x + 3

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3