Slope-Intercept Form: Write Equations & Find y-Intercepts

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write the equation in slope-intercept form that represents the total cost (C) as a function of miles driven (m).

• C = 0.20m - 50

• C = 0.50m + 50

• C = 50m + 0.20

• C = 0.20m + 50

If the equation of a line is given as y = 3x + 5, what is the y-intercept of this line?

• -5

• 5

• 0

• 3

A local gym has a membership fee of $30 per month and charges an additional $10 for each fitness class attended. Write the equation in slope-intercept form for the total cost (C) based on the number of classes (c) attended.

• C = 10c + 20

• C = 30 + 10c

• C = 10c + 30

• C = 30c + 10

The equation of a line is y = -2x + 8. Determine the y-intercept of this line and explain its meaning in a real-world context.

• 4

• 10

• 8

• 6

A delivery service charges a base fee of $15 plus $1.50 for each package delivered. Write the equation in slope-intercept form for the total charge (C) based on the number of packages (p) delivered.

• C = 15 + 1.5p^2

• C = 1.5p + 15

• C = 15p + 1.5

• C = 1.5p - 15

If a line has a slope of 4 and passes through the point (2, 3), write the equation of the line in slope-intercept form.

• y = 4x + 1

• y = 4x - 3

• y = 4x + 5

• y = 4x - 5

A school is planning a fundraiser and expects to earn $200 from ticket sales plus $5 for each additional item sold. Write the equation in slope-intercept form for the total earnings (E) based on the number of items sold (i).

• E = 200i + 5

• E = 200 + 10i

• E = 5i - 200

• E = 5i + 200

The equation of a line is given as y = 0.5x - 1. What is the y-intercept, and what does it represent in a practical scenario?

• 0

• 1

• -1

• -0.5

A phone company offers a plan that costs $25 per month plus $0.10 per minute of calls. Write the equation in slope-intercept form for the total cost (C) based on the number of minutes (m) used.

• C = 0.10m + 25

• C = 0.10m + 30

• C = 0.25m + 25

• C = 25m + 0.10

If the slope of a line is -3 and the y-intercept is 7, write the equation of the line in slope-intercept form and describe a situation where this might apply.

• y = -3x + 7

• y = 7x + 3

• y = 3x + 7

• y = -3x - 7