Slope-Intercept Equations: Solve & Create from Scenarios

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. Write the equation in slope-intercept form that represents the total cost (y) based on the number of miles driven (x).

• y = 0.15x + 15

• y = 0.15x + 20

• y = 0.15x - 20

• y = 20x + 0.15

If a store sells notebooks for $2 each and has a fixed cost of $10 for supplies, write the equation in slope-intercept form for the total cost (y) based on the number of notebooks sold (x).

• y = 2x + 10

• y = 2x - 10

• y = 10x + 2

• y = 3x + 10

A gardener charges a base fee of $50 for landscaping plus $25 per hour of work. Write the equation in slope-intercept form for the total charge (y) based on the number of hours worked (x).

• y = 25x - 50

• y = 25x + 50

• y = 50x + 25

• y = 50 + 25x

A phone plan costs $30 per month plus $0.10 per text message sent. Write the equation in slope-intercept form for the total monthly cost (y) based on the number of text messages sent (x).

• y = 0.10x - 30

• y = 30x + 0.10

• y = 0.10x + 30

• y = 30 + 0.10x^2

If a gym membership costs $40 per month and there is a one-time registration fee of $60, write the equation in slope-intercept form for the total cost (y) after x months.

• y = 40x + 60

• y = 60x + 40

• y = 60 + 40x

• y = 40x - 60

Solve for y in the equation 3x + 4y = 12. What is the slope of the line?

• 0

• -1

• 2

• -3/4

Solve for y in the equation 5x - 2y = 10. What is the y-intercept of the line?

• 0

• 5

• -2

• -5

A delivery service charges a flat fee of $15 plus $0.50 per mile. Write the equation in slope-intercept form for the total cost (y) based on the number of miles (x).

• y = 15x + 0.50

• y = 15 + 0.50x^2

• y = 0.50x - 15

• y = 0.50x + 15

A concert ticket costs $50 and there is an additional service fee of $10. Write the equation in slope-intercept form for the total cost (y) based on the number of tickets purchased (x).

• y = 50x + 10

• y = 60x + 10

• y = 50x + 5

• y = 40x + 10

If a taxi charges $3.50 for the first mile and $2.00 for each additional mile, write the equation in slope-intercept form for the total fare (y) based on the number of miles (x) traveled.

• y = 3.50x

• y = 2.00x + 3.50

• y = 1.50x + 2.00

• y = 2.00x + 1.50