Question

6. Work The dollar amount d that Julia earns varies directly as the number of hours !that she works, and d=$116.25 when 1 = 15 h. Find t when d = $178.25.

Answer 1

t = 23

Step-by-step explanation:

If the dollar amount d varies directly as the number of hours, t, the equation that relates these variables is

d = kt

Where k is a constant.

We know that for d = $116.25, t = 15 h, so we can replace these values and solve for k as follows

116.25 = k(15)

116.25/15 = k(15)/15

7.75 = k

Then, the equation that relates d and t is

d = 7.75t

Now, we know that d = $178.25 and we want to calculate t, so replacing d and solving for t, we get

178.25 = 7.75t

178.25/7.75 = 7.75t/7.75

23 = t

Therefore t = 23