determine whether the following are appropriate proportions problems. Explain your reasoning.

Question

determine whether the following are appropriate proportions problems. Explain your reasoning.

a) Tim paints four square feet in his first two hours, how many square feet does he paint in 10 hours?

b) Using a map, 1 centimeter depicts 4 miles. How many miles apart are two cities that are 20cm apart on a map?

Answer 1

4/2 = X/10 = 2

X=2(10) = 20 square feet in 10 hours

ratio of time to area remains a constant

b) 80 miles

1 cm is 4 miles

4/1 = X/20

cross multiply

X = 80 miles

ratio of cm to miles is a constant