Question

power up! common core test practice

1. the table shows the results of a survey of 200 movie - rental customers. how many customers prefer horror movies?
2. the graph shows the ramirez family budget. their budget is based on a monthly income of $4,000.

determine if each statement is true or false
a. the family budgeted $1,500 for rent.
b. the family budgeted $800 for food.
c. the family budgeted $200 more for utilities than for other expenses.
d. the family budgeted $1,200 more for rent than for food.
common core spiral review

Explanation:

Step1: Find the number of customers who prefer horror movies

The total number of customers is \(n = 200\). The percentage of customers who prefer horror movies is \(p=40\%\). To find the number of customers, we use the formula \(N=n\times p\).

$$N = 200\times\frac{40}{100}$$

Step2: Calculate the value

$$N=200\times0.4 = 80$$

Step3: Analyze statement a

The rent percentage from the bar - graph is \(37.5\%\). Using the formula \(A = 4000\times\frac{37.5}{100}\), we get \(A=4000\times0.375=1500\). So, statement a is True.

Step4: Analyze statement b

The food percentage from the bar - graph is \(20\%\). Using the formula \(A = 4000\times\frac{20}{100}\), we get \(A = 4000\times0.2=800\). So, statement b is True.

Step5: Analyze statement c

The utilities percentage is \(10\%\) and the other expenses percentage is \(7.5\%\). The amount for utilities is \(4000\times0.1 = 400\) and for other expenses is \(4000\times0.075=300\). The difference is \(400 - 300=100
eq200\). So, statement c is False.

Step6: Analyze statement d

The rent amount is \(1500\) and the food amount is \(800\). The difference is \(1500 - 800 = 700
eq1200\). So, statement d is False.

Answer:

1. \(80\)
2. a. True; b. True; c. False; d. False