Question

Mary Beth likes to go to her local car wash because she is a premier member there. Her membership fee costs $80.00 and that membership allows her to get her car washed for $26.00 every visit.
Fill in the table to find how much it costs for 2, 4, 5, and 8 visits. Use the calculator to help you solve.
Number of visits (v) Cost to get car washed (c) Cost per visit (
v
c
​
)
2 $
132
4 $
184
5 $
210
8 $
288
Nice!
Now, fill in the table to find the cost per visit. Use the calculator to help you solve.
Number of visits (v) Cost to get car washed (c) Cost per visit (
v
c
​
)
2 $132 $
4 $184 $
5 $210 $
8 $288 $

Answer 1

To calculate the total cost for the number of visits and the cost per visit, we need to consider both the membership fee and the cost per visit.

The formula to calculate the total cost (c) for a given number of visits (v) is:

\[ c = \text{{membership fee}} + (\text{{cost per visit}} \times v) \]

Given that the membership fee is $80.00 and the cost per visit is $26.00, we can now fill in the table.

1. **Calculating the cost for each number of visits:**

- **For 2 visits:**
\[
c = 80 + (26 \times 2) = 80 + 52 = 132
\]

- **For 4 visits:**
\[
c = 80 + (26 \times 4) = 80 + 104 = 184
\]

- **For 5 visits:**
\[
c = 80 + (26 \times 5) = 80 + 130 = 210
\]

- **For 8 visits:**
\[
c = 80 + (26 \times 8) = 80 + 208 = 288
\]

So, the filled-in table for the cost to get the car washed (c) looks like this:

| Number of visits (v) | Cost to get car washed (c) |
|----------------------|----------------------------|
| 2 | $132 |
| 4 | $184 |
| 5 | $210 |
| 8 | $288 |

2. **Calculating the cost per visit:**
To find the cost per visit, we can use the formula:

\[
\text{Cost per visit} = \frac{c}{v}
\]

Now, let's calculate the cost per visit for each number of visits:

- **For 2 visits:**
\[
\text{Cost per visit} = \frac{132}{2} = 66
\]

- **For 4 visits:**
\[
\text{Cost per visit} = \frac{184}{4} = 46
\]

- **For 5 visits:**
\[
\text{Cost per visit} = \frac{210}{5} = 42
\]

- **For 8 visits:**
\[
\text{Cost per visit} = \frac{288}{8} = 36
\]

Now, the final table with the cost per visit looks like this:

| Number of visits (v) | Cost to get car washed (c) | Cost per visit |
|----------------------|----------------------------|-----------------|
| 2 | $132 | $66 |
| 4 | $184 | $46 |
| 5 | $210 | $42 |
| 8 | $288 | $36 |

So, the final tables are complete.