Slope in Real-World Problems Quick Check

Question

2 of 52 of 5 Items

Question
Use the table to answer the question.

Determining the monthly cost growth while taking the initial start-up price into account in order to determine the slope.
Number of Months Cost ($)
1 74
2 99
3 124
4 149
The table below shows the cost for a gym membership at the local fitness center with an initial start-up fee charged in the first month. Find the slope, or monthly cost.

(1 point)
Responses

$37.25
$37.25

$25
$25

$49
$49

$74
$74
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Answer 1

To find the slope, or the monthly cost growth, we can use the data from the table provided. The slope can be calculated as the change in cost divided by the change in time (number of months).

Using the data from the table:

• For month 1, the cost is $74.
• For month 2, the cost is $99.
• For month 3, the cost is $124.
• For month 4, the cost is $149.

Let's compute the monthly cost for the first month and the subsequent ones:

1. The cost for month 1 is $74 (which includes the initial start-up fee).
2. The cost for month 2 is $99. The increase in cost is $99 - $74 = $25.
3. The cost for month 3 is $124. The increase in cost is $124 - $99 = $25.
4. The cost for month 4 is $149. The increase in cost is $149 - $124 = $25.

The monthly cost growth is consistent at $25 per month after the initial fee.

Thus, the slope or monthly cost is $25.

The correct response is $25.