What is the value of c…

Mathematics Questions

What is the value of c(7) for the function c(n) = 50 + 4n, which represents the monthly cost of visiting a gym based on the number of visits, n?

Short Answer

The function c(n) = 50 + 4n calculates the monthly cost based on the number of visits, n. By substituting n with 7, the calculation shows that c(7) equals 78 dollars.

Step-by-Step Solution

Step 1: Understand the Function

The function is defined as c(n) = 50 + 4n, where n represents the number of visits. The function calculates the monthly cost in dollars based on the number of visits. To find a specific cost, you will substitute the value of n into this equation.

Step 2: Substitute the Value

To find c(7), replace n in the equation with 7. Follow these calculations:

  • Start with: c(7) = 50 + 4n
  • Now substitute n with 7: c(7) = 50 + 4(7)
  • Calculate the multiplication: c(7) = 50 + 28

Step 3: Calculate and Conclude

Now, complete the final arithmetic to find c(7). Simply add 50 and 28 to get the result:

  • c(7) = 50 + 28 = 78

Therefore, the value of c(7) is 78 dollars.

Related Concepts

Function

A mathematical relationship or expression that defines how one variable depends on another, represented in this case as c(n) = 50 + 4n.

Substitution

The process of replacing a variable in an expression with a specific value to evaluate or solve the expression.

Arithmetic

The branch of mathematics dealing with the addition, subtraction, multiplication, and division of numbers; essential for performing the calculations to find the final result.

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