C gives the cost, in dollars, of a cafeteria meal plan as a function of the number of meals
purchased, n. The function iſ represented by the equation C(n) = 4 + 3n.
1. Find a value of n such that C(n) = 31 is true.

Respuesta :

Answer:

9

Step-by-step explanation:

First, write the equation.

C(n) = 4 + 3n

We know that C(n) = 31, so we can substitute it.

31 = 4 + 3n

Subtract 4 from both sides to isolate the term with the variable.

27 = 3n

Divide both sides by 3 to get the variable by itself.

9 = n

The value of n such that C(n) = 31 is true is 9

Cost functions

Given the cost in dollars, of a cafeteria meal plan as a function of the number of meals  purchased, n as:

  • C(n) = 4 + 3n

If the cost value C(n) is 31, hence;

31 = 4 + 3n

3n = 31 - 4

3n = 27

n = 27/3

n = 9

Hence the value of n such that C(n) = 31 is true is 9

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