select the correct answer. jenny is tracking the monthly sales totals for her boutique. the given piece…

select the correct answer. jenny is tracking the monthly sales totals for her boutique. the given piece - wise function represents the boutiques monthly sales, in dollars, where x represents the number of months since jenny began tracking the data. f(x)={4,000(1.1)^x, 0 <= x < 3; 100x + 5,024, 3 <= x < 6; -x^2 + 5x + 5,630, 6 < x <= 8} what were the boutiques monthly sales when jenny first began tracking the data? a. $5,616 b. $5,324 c. $4,000 d. $4,400

select the correct answer. jenny is tracking the monthly sales totals for her boutique. the given piece - wise function represents the boutiques monthly sales, in dollars, where x represents the number of months since jenny began tracking the data. f(x)={4,000(1.1)^x, 0 <= x < 3; 100x + 5,024, 3 <= x < 6; -x^2 + 5x + 5,630, 6 < x <= 8} what were the boutiques monthly sales when jenny first began tracking the data? a. $5,616 b. $5,324 c. $4,000 d. $4,400

Answer

Explanation:

Step1: Identify the relevant function part

When Jenny first began tracking data, $x = 0$. Since $0\leq x<3$, we use $f(x)=4000(1.1)^x$.

Step2: Substitute $x = 0$

Substitute $x = 0$ into $f(x)=4000(1.1)^x$. We know that any non - zero number to the power of 0 is 1, so $f(0)=4000(1.1)^0=4000\times1 = 4000$.

Answer:

C. $4,000