Answer:
(b) 35.5w + 136.45 = 455.95; w = 9
Explanation:
You want an equation to determine how many weeks, w, you must babysit to earn $455.95 at the rate of $35.50 each week, having already saved $136.45.
Relations
If you earn $35.50 each week for w weeks, your total earnings will be ...
35.50w
When that amount is added to the amount you already have, $136.45, the sum is ...
35.5w +136.45
You want that total to be $455.95, which gives you the equation ...
35.5w +136.45 = 455.95
Solution
To solve this 2-step equation, subtract the left-side constant:
35.5w = 319.50
The second step is to divide by the coefficient of the variable:
w = 319.50/35.5
w = 9