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Question 12(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)

A new gaming chair costs $455.95. You have already saved $136.45 and earn $35.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.

35.5 + 136.45w = 455.95; w = 9
35.5w + 136.45 = 455.95; w = 9
35.5w − 136.45 = 455.95; w = 17
35.5w − 455.95 = 136.45; w = 17

Respuesta :

sqdancefan

Answer:

  (b)  35.5w + 136.45 = 455.95; w = 9

Step-by-step 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

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