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timama [110]
3 years ago
15

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 w

ith a linear function. Is Dani correct? Explain your reasoning.

Mathematics
2 answers:
yulyashka [42]3 years ago
8 0

Yes I think she is because y = f(x) = a + bx.

All you need for a linear function is one independent variable and one dependent variable, and you have that.

Hope this helps, sorry if not, have a good day. c;

TiliK225 [7]3 years ago
4 0

Answer:

Yes.

Explanation:

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

The variables are

<em>Output</em>: C, cost in dollars

<em>Input:</em> n, number of square feet

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

The <em>initial value</em> 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.


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