Question

11

11) Terry earns $30 per hour walking
dogs. Terry pays $150 each month to a
grooming service for the dogs. Which
equation represents Terry's profit, y, for
walking x dogs?
a) y = 30 + 150x
b) y = 30x + 150
c) y = 30 - 150x
d) y = 30x - 150

Answer 1

• Pay means loss is done as money is given to someone
• Earn means profit as money is taken from someone

So

here

• rate of pay=30$ per hour

If hours be x

Question asked to plot a equation to calculate profit so all the expenses or loss should be deducted,here the constant loss is of 150 so 150 should be subtracted

The equation in slope intercept form

• y=mx+b
• y=30x-150

Answer 2

d) y = 30x - 150

Explanation:

Let x = number of hours worked

Let y = profit earned

Profit is the amount left after expenses are deducted.

Given:

• Terry earns $30 per hour walking dogs

⇒ y = 30x

Given:

• Terry pays $150 each month to a grooming service

This is Terry's expenses, so we must deduct this amount from the amount he earns walking the dogs to calculate the final profit:

⇒ y = 30x - 150