What is the value of c(7) if the function c …

Mathematics Questions

Function c is defined by the equation c(n) = 50 + 4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. Find the value of c(7).

Short Answer

The function c(n) = 50 + 4n represents the gym’s monthly cost, where n is the number of visits. By substituting n with 7, the cost is calculated as c(7) = 50 + 4(7) = 78, meaning the monthly cost for 7 visits is $78.

Step-by-Step Solution

Step 1: Understand the Function

The function given is c(n) = 50 + 4n, where c represents the monthly cost of the gym and n represents the number of visits to the gym. This means that the total cost increases by 4 for each additional visit beyond the base cost of 50.

Step 2: Substitute the Value

To find the cost when the number of visits is 7, substitute n with 7 in the function. This gives us:

  • c(7) = 50 + 4(7)

Step 3: Calculate the Result

Now, perform the calculations step by step:

  • First, calculate 4 times 7, which equals 28.
  • Next, add this value to 50: 50 + 28.
  • This results in 78, which is the monthly cost at n = 7 visits.

Related Concepts

Function

A mathematical relation or expression that defines a relationship between a set of inputs and an output. in this context, it represents the monthly cost based on gym visits.

Cost

The monetary value that is associated with a service, in this case, the expenses incurred from gym visits.

Visits

Refers to the number of times an individual goes to the gym, which directly influences the total cost based on the given function.

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