Question

Mary works as a gardener. On her last job she charged $60 for plants and $500 for 20 hours of work. The equations represent the total price,y, charged by different gardeners after x hours of work. Click on all the equations that represent gardeners who charge a higher hourly rate than Mary. A. Y = 15x + 60 B. Y = 32x + 35 C. Y = 21x + 75 D. Y = 18x + 80 E. Y = 35x + 30 F. Y = 40x + 40

Answer 1

• B. Y = 32x + 35
• E. Y = 35x + 30
• F. Y = 40x + 40

Explanation:

First find out how much Mary was charging per hour:

= 500 / 20

= $25 per hour

She charges $60 for plants.

In a linear equation of the form: y = mx + c, the m represents the variable cost which in this case is the $25 per hour and the c is the fixed cost which is the $60.

Her rate as a linear equation would be:

y = 25x + 60

Looking a the value of the m of other gardeners will tell you who is charging higher hourly rates with anything above $25 doing so.

The gardeners with higher values of m than Mary are:

B. Y = 32x + 35

E. Y = 35x + 30

F. Y = 40x + 40