Question

Suppose a karate membership cost $45 a month. Additionally, there is a uniform cost of $55. Which equation models the cost, c, of the karate membership for m months?

Answer 1

Answer: The answer would be C = 45x + 55

Step-by-step explanation: C would be cost and X would be the amount of months

Answer 2

c = 45m + 55

Explanation:

There are two variables: the number of months and the total cost. The total cost depends on the length of the membership.

The variables are

Output: c, cost in dollars

Input: m, number of months.

The rate of change or slope is $45/mo.

The initial value is $55, the cost of a uniform.

The rate of change is constant, so we can use a linear model of the form

y = ax +b or

c = am +b

m = 45; b = 55

The linear function is

c = 45m + 55

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You can see a graph of the function below.

The initial cost is $55. At 10 mo, the total cost is $450 + $55 = $505.