Question

  

Two-Part Question

Part A

Multiple Choice Question

Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and monthly fee of $19.50. She has $250 to spend on a membership at the fitness club. Write an equation to find the number of months Chelsey can be a member of the fitness club.

A. 

250x + 19.50 = 55

B. 

55x + 19.50 = 250

C. 

19.50x + 55 = 250

D. 

250x + 55 = 19.50

Part B

Multiple Choice Question

Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and monthly fee of $19.50. She has $250 to spend on a membership at the fitness club. Solve an equation to find the number of months Chelsey can be a member of the fitness club.

A. 

9 months

B. 

10 months

C. 

11 months

D. 

12 months

Answer 1

**Part A:**

To find the number of months Chelsey can be a member of the fitness club, we can set up an equation based on her total budget of $250.

The initial membership fee is $55, and the monthly fee is $19.50 per month. Let \( x \) be the number of months she can afford to pay for.

The total cost of the membership can be expressed as:
\[
\text{Total Cost} = \text{Initial Fee} + (\text{Monthly Fee} \times \text{Number of Months})
\]
Which translates to:
\[
250 = 55 + 19.50x
\]
Rearranging this gives us:
\[
19.50x + 55 = 250
\]

So the correct choice for Part A is:
**C. \( 19.50x + 55 = 250 \)**

---

**Part B:**

Now, we solve the equation:

Starting with:
\[
19.50x + 55 = 250
\]

First, subtract 55 from both sides:
\[
19.50x = 250 - 55
\]
\[
19.50x = 195
\]

Next, divide both sides by 19.50:
\[
x = \frac{195}{19.50}
\]
Calculating that gives:
\[
x = 10
\]

So, the number of months Chelsey can be a member of the fitness club is:
**B. 10 months**