Question

the data below shows the sales in certain categories for a large retailer last year. juan set up a ratio of tennis sales to baseball sales. continue his work to estimate how many times as many dollars in sales there were for tennis than baseball. because we are estimating, we can round. start by rounding each leading factor to the nearest whole number. category sales (dollars) tennis 3.73×10^8 baseball 7.93×10^7 tennis/baseball = (3.73×10^8)/(7.93×10^7) ≈ (□×10^8)/(□×10^7) 4 7 3 8

Explanation:

Step1: Round the leading factors

Round 3.73 to 4 and 7.93 to 8.

Step2: Set up the estimated ratio

The ratio of tennis sales to baseball sales is $\frac{3.73\times 10^{8}}{7.93\times 10^{7}}\approx\frac{4\times 10^{8}}{8\times 10^{7}}$.

Step3: Simplify the ratio

Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$ and $\frac{4}{8}=\frac{1}{2}$, we have $\frac{4\times 10^{8}}{8\times 10^{7}}=\frac{4}{8}\times10^{8 - 7}=\frac{1}{2}\times10^{1}=5$.

Answer:

5