Question

a grocery store is running a special on frozen dinners. if a customer buys a family - size dinner for $8, he or she can buy any number of single - serve dinners for just $2 apiece. write an equation that shows how the total cost, y, depends on the number of single - serve dinners purchased, x. do not include dollar signs in the equation.

Explanation:

Step1: Identify fixed and variable costs

The family - size dinner costs a fixed $8. The cost of single - serve dinners is variable: each single - serve dinner costs $2, and if we buy \(x\) single - serve dinners, the cost for single - serve dinners is \(2x\).

Step2: Form the total cost equation

The total cost \(y\) is the sum of the fixed cost of the family - size dinner and the variable cost of the single - serve dinners. So, \(y = 8+2x\).

Answer:

\(y = 2x + 8\)