Question

researchers asked 150 families whether or not they were homeowners and how many cars they had. their responses are summarized

(a) what percentage of the families are homeowners?
(b) what percentage of the families have two or more cars?

Explanation:

Step1: Calculate the number of homeowner families

The number of homeowner families is \(15 + 54=69\).

Step2: Calculate the percentage of homeowner families

The formula for percentage is \(\frac{\text{part}}{\text{whole}}\times100\%\). Here, the part is the number of homeowner families (\(69\)) and the whole is \(150\). So the percentage is \(\frac{69}{150}\times 100\%=\frac{6900}{150}\% = 46\%\).

Step3: Calculate the number of families with two or more cars

The number of families with two or more cars is \(54+57 = 111\).

Step4: Calculate the percentage of families with two or more cars

Using the percentage formula \(\frac{\text{part}}{\text{whole}}\times100\%\), with part \(111\) and whole \(150\). So the percentage is \(\frac{111}{150}\times100\%=\frac{11100}{150}\%=74\%\).

Answer:

(a) \(46\%\)
(b) \(74\%\)