Jackson likes to go to his local nail salon because he is a premier member there. His membership fee costs $80.00 and that membership allows him to get his nails done for $12.00 every visit.

Question

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) Total cost (c) Cost per visit (
v
c
​
)
2 $
4 $
5 $
8 $
Great job!
Now, fill in the table to find the cost per visit. Use the calculator to help you solve.
Number of visits (v) Total cost (c) Cost per visit (
v
c
​
)
2 $104 $
4 $128 $
5 $140 $
8 $176 $

Answer 1

To find the total cost for Jackson's visits and the cost per visit, we can use the formula:

\[ \text{Total Cost} = \text{Membership Fee} + (\text{Cost per Visit} \times \text{Number of Visits}) \]

Given:

• Membership Fee = $80.00
• Cost per Visit = $12.00

Now, let's calculate the total cost for 2, 4, 5, and 8 visits:

1. For 2 visits (v = 2): \[ c = 80 + (12 \times 2) = 80 + 24 = 104 \]

2. For 4 visits (v = 4): \[ c = 80 + (12 \times 4) = 80 + 48 = 128 \]

3. For 5 visits (v = 5): \[ c = 80 + (12 \times 5) = 80 + 60 = 140 \]

4. For 8 visits (v = 8): \[ c = 80 + (12 \times 8) = 80 + 96 = 176 \]

Now, here are the values filled in the first table:

| Number of visits (v) | Total cost (c) | |----------------------|----------------| | 2 | $104 | | 4 | $128 | | 5 | $140 | | 8 | $176 |

Next, to find the cost per visit for the second table:

• The formula for cost per visit is: \[ \text{Cost per visit} = \frac{\text{Total Cost}}{\text{Number of Visits}} \]

1. For 2 visits (c = 104): \[ \text{Cost per visit} = \frac{104}{2} = 52 \]

2. For 4 visits (c = 128): \[ \text{Cost per visit} = \frac{128}{4} = 32 \]

3. For 5 visits (c = 140): \[ \text{Cost per visit} = \frac{140}{5} = 28 \]

4. For 8 visits (c = 176): \[ \text{Cost per visit} = \frac{176}{8} = 22 \]

Now, the values filled in the second table:

| Number of visits (v) | Total cost (c) | Cost per visit | |----------------------|----------------|-----------------| | 2 | $104 | $52 | | 4 | $128 | $32 | | 5 | $140 | $28 | | 8 | $176 | $22 |

To summarize:

Total Cost Table

| Number of visits (v) | Total cost (c) | |----------------------|----------------| | 2 | $104 | | 4 | $128 | | 5 | $140 | | 8 | $176 |

Cost per Visit Table

| Number of visits (v) | Total cost (c) | Cost per visit | |----------------------|----------------|-----------------| | 2 | $104 | $52 | | 4 | $128 | $32 | | 5 | $140 | $28 | | 8 | $176 | $22 |