Question

Enter the data for Spendco into your graphing calculator. Enter the years since 2000 as the x-values and the corresponding daily hits in thousands as

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asked 2021-05-01

Enter the data for Spendco into your graphing calculator. Enter the years since 2000 as the x-values and the corresponding daily hits in thousands as the y-values. a. To find the exponential equation that models the data, use the exponential regression feature of your calculator. The calculator should return values for a and b. Write these values below, rounding to the nearest hundredth. a= b. Write the exponential equation in the form \(\displaystyle{y}={a}{b}^{{x}}\).
c. Use the exponential equation to predict the number of daily hits for Spendco in 2015.

Answers (1)

2021-05-02
a. Values using the graphing calculator \(\displaystyle{a}={2.00396}→{2.00}\)
\(\displaystyle{b}={1.79956}→{1.8}\)
b. Exponential Equation \(\displaystyle{y}={\left({2.0}\right)}{\left({1.8}\right)}^{{x}}\)
c. Daily hits of Spendco in 2015
x=2015-2000=15 value of x
\(\displaystyle{y}={\left({2.0}\right)}{\left({1.8}\right)}^{{x}}\) substitute the value of x
\(\displaystyle{y}={\left({2.0}\right)}{\left({1.8}\right)}^{{15}}\) exponent rule
y=(2.0)(6764.64) multiplication
y=13493.28 daily hits for Spendco in 2015
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