Question

82. A company spends x hundred dollars on an advertising
campaign. The amount of money in sales S(x) (in
$1000) for the 4-month period after the advertising
campaign can be modeled by
S(x) = 5 + 7 In(x + 1)
If the sales total $19,100, how much was spent on
advertising?

Answer 1

The company spends $649 on advertising

The sales function after advertising is given as:

$S(x) = 5 + 7\ln(x + 1)$

When the total sales is $19,100, we have S(x) = 19100

So, the sales function becomes

$5 + 7\ln(x + 1) = 19.1$

Subtract 5 from both sides

$7\ln(x + 1) = 14.1$

Divide both sides by 7

$\ln(x + 1) = 2.014$

Take exponents of both sides

$x + 1 = e^{2.014$

$x + 1 = 7.49$

Subtract 1 from both sides

$x= 6.49$

Hence, the company spends $649 on advertising

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https://brainly.com/question/12940982