# The price of a visit to the dentist is \$50. If the dentist fills any cavities, an additional charge of \$100 per cavity gets added to the bill. If the dentist finds n cavities, what will the cost of the visit be? Write your answer as an expression.

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## Question:

The price of a visit to the dentist is \$50. If the dentist fills any cavities, an additional charge of \$100 per cavity gets added to the bill. If the dentist finds n cavities, what will the cost of the visit be? Write your answer as an expression.

We will find that the cost of the visit is modeled with the linear equation:

c(n) = \$100*n + \$50.

### How to write a model equation?

Here we need to find an equation that models the cost of the visit to the dentist.

We know that there is a fixed cost of \$50, plus \$100 for each cavity filled.

So, if the dentist fills n cavities, the cost will be the fixed \$50 plus n times \$100, this is:

C(n) = \$50 + \$100*n

This is the linear equation that models the cost of the visit.