Question

the attendant at a parking lot compared the number of hybrid vehicles to the total number of vehicles in the lot over a weekend. the ratios for the three days were equivalent. complete the table.

Explanation:

Step1: Find the ratio for Friday

The ratio of hybrids to total on Friday is \(\frac{5}{9}\).

Step2: Set up the proportion for Saturday

Since the ratios are equivalent, for Saturday, let the total be \(x\). The ratio of hybrids to total is \(\frac{40}{x}\). Using the Friday ratio \(\frac{5}{9}=\frac{40}{x}\). Cross - multiply: \(5x = 40\times9\).

Step3: Solve for \(x\) (total on Saturday)

\(5x=360\), then \(x=\frac{360}{5}=72\) (already given, which checks out).

Step4: Set up the proportion for Sunday

Let the total on Sunday be \(y\). The ratio of hybrids to total is \(\frac{35}{y}\). Using the ratio \(\frac{5}{9}=\frac{35}{y}\). Cross - multiply: \(5y=35\times9\).

Step5: Solve for \(y\) (total on Sunday)

\(5y = 315\), then \(y=\frac{315}{5}=63\).

Answer:

63