Unit 4 Group Problem: Paint!

Jason paints signs on buildings. He can paint letters that contain straight edges easily but takes a little bit longer to paint letters that contain at least one curved edge.

It takes Jason 25 minutes to paint the word CHEMIST and 43 minutes to pain the word SUPERMARKET.

a. On average, how long does Jason take to paint each

a. Straight-edged letter
b. Curved-edged letter
b. How long would it take Jason to paint the word ACCOUNTANT?
Please format your response as follows:
Section 1: Mathematical Work

Section 2: Solution

Section 3: Explain your work and justify your solution. Be sure to use appropriate mathematical vocabulary.

a. To find the average time Jason takes to paint each straight-edged letter, we'll divide the total time it takes him to paint the word by the number of straight-edged letters in the word.

Average time for straight-edged letter = Total time to paint the word / Number of straight-edged letters

b. To find the average time Jason takes to paint each curved-edged letter, we'll divide the total time it takes him to paint the word by the number of curved-edged letters in the word.

Average time for curved-edged letter = Total time to paint the word / Number of curved-edged letters

c. To find the time it would take Jason to paint the word "ACCOUNTANT," we'll multiply the average time for each type of letter by the number of letters in the word.

Total time to paint "ACCOUNTANT" = Average time for straight-edged letter * Number of straight-edged letters + Average time for curved-edged letter * Number of curved-edged letters

Section 2: Solution

a. On average, Jason takes 5 minutes to paint each straight-edged letter.

b. On average, Jason takes 14.33 minutes to paint each curved-edged letter.

c. It would take Jason approximately 101.67 minutes to paint the word "ACCOUNTANT."

Section 3: Explain your work and justify your solution.

In this problem, we found the average time Jason takes to paint each type of letter by dividing the total time it takes him to paint the word by the number of letters in the word.

Based on the given information, we determined that it takes Jason an average of 5 minutes to paint each straight-edged letter and approximately 14.33 minutes to paint each curved-edged letter.

To find the time it would take Jason to paint the word "ACCOUNTANT," we multiplied the average time for each type of letter by the number of letters in the word. We added the total time for each type of letter to find the total time to paint the word.

Therefore, it would take Jason approximately 101.67 minutes to paint the word "ACCOUNTANT."