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matrenka [14]
3 years ago
10

The cost of a floral bouquet after a discount is applied is represented by the function below, where x represents the number of

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

The average rate of change over the interval (12,24) is 2.17

Explanation:

Given that the cost of a floral bouquet after a discount is given by the function f(x)=2.17x-10.00

We need to determine the average rate of change over the interval (12,24)

The average rate of change can be determined using the formula,

\frac{f(b)-f(a)}{b-a}

where a=12 and b=24

Substituting the value of a and b in the function, we get,

f(12)=2.17(12)-10.00

        =26.04-10.00

        =16.04

f(24)=2.17(24)-10.00

        =52.08-10.00

        =42.08

Hence, substituting these values in the formula, we get,

\frac{f(b)-f(a)}{b-a}=\frac{42.08-16.04}{24-12}

Simplifying, we get,

\frac{f(b)-f(a)}{b-a}=\frac{26.04}{12}

Dividing, we have,

\frac{f(b)-f(a)}{b-a}=2.17

Thus, the average rate of change over the interval (12,24) is 2.17

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