Dani's estimate for the cost of tiling her bathroom floor is $50 plus $3 per square foot. she says that she can model the cost with a linear function. is dani correct? explain your reasoning.

Yes.

Explanation:

There are two variables: The number of square feet and the cost of the job. The cost depends on the area of the bathroom floor.

The variables are

Output: C, cost in dollars

Input: n, number of square feet

The rate of change or slope is $3/ft².

The initial value is $50, the amount she must par above the cost of the flooring.

The rate of change is constant, so we can use a linear model of the form

y = mx +b or

C = mn +b

m = 3; b = 50

The linear function is

C = 3n + 50

===============

If the area of Dani's bathroom floor is 250 ft²,

C = 3 × 250 + 50

C = 750 +50

C = $800

This is the same cost predicted by the graph.

6 on both sides and twelve on the top and the bottom

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