Lorenzo is a painter. he recently painted a garage floor that was 10.5 ft by 12.8 ft. it took him 2 1/4 hours to complete the job. he charged his customer $66.25 for the job.his next job is painting the four walls of a basement with the following dimensions: two walls are 9 ft by 10.2 ft,and two walls are 9 ft by 6.7 ft. a. write a unit rate to describe what area of a surface lorenzo can paint each hour. b how long will it take him to paint the basement walls? explain your thinking. c. what will he charge for the time it takes to paint the basement?

Lorenzo is a painter. he recently painted a garage floor that was 10.5 ft by 12.8 ft.  

It took him 2 1/4 hours to complete the job, ie. 2.25 hours

Total area 10.5 x 12.8 =134.4 sq ft

he charged his customer $66.25 for the job.

He get $66.25 /134.4 = $0.49 per sq ft

It takes 2.25 hrs to complete the job, in 1 hour he can paint 134.4 sq ft/2.25 =59.7 sq ft

A. write a unit rate to describe what area of a surface Lorenzo can paint each hour.

he paint 134.4 sq ft in 2.25 hrs he get $66.5

he paint 59.5 sq ft in 1 hrs he get $29.5

B how long will it take him to paint the basement walls?  

two walls are 9 ft by 10.2 ft,and two walls are 9 ft by 6.7 ft.

Total area = 2(9 x 10.2) + 2(6 x 6.7) = 304.2 sq ft

Total time taken is 304.2 /59.5 =5.1 hours

His next job is painting the four walls of a basement with the following dimensions:

explain your thinking.  

C. what will he charge for the time it takes to paint the basement?

basement area =10.2 x 6.7 = 68.34

time taken to do this =68.34/59.5 = 1.2 hours

Total charge to paint the basement = 1.2 x 29.5 =$35.4

1. False (because m can be 0, it is n that cannot be 0 because it is the denominator)
2. False (They both contain the same variables, and so are like terms)
3. True (The equation is correctly written from the words)