Question

Roberto is having his house painted. the job takes three days, and he pays the painter the same hourly rate every day. the cost of the job is in the chart below. which of the following equations, where h h represents hours worked and p the amount paid in dollars, represent an hourly pay rate that is greater than the painter's hourly rate? Day 1 Day 2 Day 3 Hours worked 5 4 6 Amount paid $300 $240 $360 choose all answers that apply: a. P = 6.5h b. P = 65h c. P = 70h

Answer 1

the equations that represent an hourly pay rate greater than the painter's hourly rate are:

b. P = 65h

c. P = 70h

To determine the painter's hourly rate, we can use the total amount paid and the total hours worked from the data provided. Then, we can compare the painter's hourly rate to the rates given in the choices to determine which represents an hourly rate greater than the painter's.

The total amount paid over the three days is
`\( \$300 + \$240 + \$360 \)`, and the total hours worked is
`\( 5 + 4 + 6 \)` hours.

Let's calculate the painter's hourly rate.

The painter's hourly rate is $60.00. Now we will compare this rate to the rates given in the choices:

a. P = 6.5h (This is less than $60.00 per hour)

b. P = 65h (This is greater than $60.00 per hour)

c. P = 70h (This is also greater than $60.00 per hour)

So, the equations that represent an hourly pay rate greater than the painter's hourly rate are:

b. P = 65h

c. P = 70h