Question

As a young girl, Cara enjoyed watching her father make things in his woodworking shop. Now that she's grown up, Cara builds wooden furniture for a living. Her most popular product is a cedar porch swing. There is a proportional relationship between the time (in days) Cara spends making porch swings, x, and the number of swings she builds, y. The equation that models this relationship is y=0.25x. At this rate, how long does it take Cara to build 5 swings? Write your answer as a whole number or decimal.

Answer 1

To determine how long it takes Cara to build 5 swings at a rate of y = 0.25x, where x is the number of days she spends making swings, you can set up the equation:

5 = 0.25x

Now, solve for x:

x = 5 / 0.25

x = 20

So, it takes Cara 20 days to build 5 swings at the given rate.