QuestionLuke's concrete cost function for $x$ sq ft is $f(x)=3.5x+95$ . Choose the correct option from the given choices.

Studdy Solution

STEP 1

Assumptions1. The initial cost of pouring the concrete is $95. The additional cost per square foot of concrete is$ 3.503. The cost function should be in the form of $f(x) = mx + b$ , where $m$ is the cost per square foot and $b$ is the initial cost4. $x$ is the area in square feet

STEP 2

We need to formulate a function that represents the cost of pouring a concrete slab with an area of $x$ square feet. The function should be in the form of $f(x) = mx + b$ , where $m$ is the cost per square foot and $b$ is the initial cost.
$f(x) = mx + b$

STEP 3

Substitute the given values for $m$ and $b$ into the function. $m$ is the cost per square foot, which is $3.50, and$ b $is the initial cost, which is$ 95.
$f(x) =3.5x +95$ This is the function that can be used to determine the cost, in dollars, to pour a concrete slab with an area of $x$ square feet.
So, the correct answer is A $f(x) =3.5x +95$ .

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