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 hhh represents hours worked and PPP the amount paid in dollars, represent an hourly pay rate that is greater than the painter's hourly rate? Day 111 Day 222 Day 333 Hours worked 555 444 666 Amount paid \$300$300dollar sign, 300 \$240$240dollar sign, 240 \$360$360dollar sign, 360 Choose all answers that apply: Choose all answers that apply: (Choice A) A P=6.5hP=6.5hP, equals, 6, point, 5, h (Choice B) B P=50hP=50hP, equals, 50, h (Choice C) C P=65hP=65hP, equals, 65, h (Choice D) D P=70hP=70hP, equals, 70, h

Answer 1

After calculating the painter's hourly rate as $60/hour, it's demonstrated that only Choices C and D, which are $65/hour and $70/hour respectively, represent higher hourly pays than the painter's rate.

Step-by-step explanation:

The question is asking us to determine which equations represent an hourly pay rate that is greater than the painter's hourly rate. We know the painter was paid $300 for 5 hours, $240 for 4 hours, and $360 for 6 hours. We can calculate the rate by dividing the total amount paid by the number of hours worked each day, finding that the hourly rate is $60.

1. Day 1: $300 / 5 hours = $60/hour
2. Day 2: $240 / 4 hours = $60/hour
3. Day 3: $360 / 6 hours = $60/hour

Therefore, any pay rate greater than $60/hour would represent a higher hourly rate than the painter's. Looking at the options given:

• (Choice A) $6.5 per hour - this is less than $60/hour.
• (Choice B) $50 per hour - this is less than $60/hour.
• (Choice C) $65 per hour - this is greater than $60/hour. Correct
• (Choice D) $70 per hour - this is greater than $60/hour. Correct

Only Choices C and D represent an hourly pay rate that is greater than the painter's hourly rate of $60/hour.