Question

The cost for children under twelve at a certain buffet restaurant is a base charge of a dollar plus twenty-five cents for each year of the child's age. Represent this cost as an expression, using y to stand for the child's age in years. Then use the expression to find the cost for a child who is nine.

Answer 1

Answer:

$Cost = 1 + 0.25y$

$Cost =3.25$

Step-by-step explanation:

Given

$Base\ Amount = \ 1$

$Additional = 25cents$ of child's age

Solving (1):

Determine the cost function.

Represent the years as y.

So, we have:

$Additional = 25cents$ * y

Convert 25 cents to dollars.

$25 cents = 25 * \ 0.01$

$25 cents = \ 0.25$

So, we have:

$Additional = \ 0.25 * y$

The cost amount is then:

$Cost = Base\ Amount + Additional$

$Cost = 1 + 0.25y$ --- This is the cost function

Solving (b): Cost of 9 years old.

In this case;

$y = 9$

Substitute 9 for y in $Cost = 1 + 0.25y$

$Cost =1 + 0.25 * 9$

$Cost =1 + 2.25$

$Cost =3.25$ --- This is the cost for a child of 9