Question

1. ryan delivers flowers to customers. he drives for 12 minutes at an average speed of 40 miles per hour to reach his first customer. he then drives at an average speed of 50 miles per hour to meet his second customer. during the 27 minutes of driving time, how many total miles does ryan drive?
2. there are 230 calories in 4 ounces of a type of ice cream. how many calories are in 6 ounces of that ice cream?
3. pat bounces a basketball 25 times in 30 seconds. at that rate, approximately how many times will pat bounce the ball in 150 seconds?
4. there are 104 calories in an 8 - ounce serving of soda. how many calories are in 1 - ounce of soda?
5. an artist uses a ratio of 6 gallons of blue paint to 8 gallons of yellow paint. if the artist uses 1 gallon of yellow paint, how many gallons of blue paint will they use?
6. review question: hannah buys pears and plums from the grocery store. she pays $6.25 for 5 pounds of pears and $6.90 for 6 pounds of plums. which fruit has the greater unit price? how much greater?

Explanation:

Problem 1

Step1: Convert time to hours

12 minutes = $\frac{12}{60}$ = 0.2 hours; 27 - 12 = 15 minutes = $\frac{15}{60}$ = 0.25 hours.

Step2: Calculate distance for each part

First distance: $d_1 = 40 \times 0.2 = 8$ miles; Second distance: $d_2 = 50 \times 0.25 = 12.5$ miles.

Step3: Total distance

Total = $8 + 12.5 = 20.5$ miles.

Step1: Find calories per ounce

Calories per ounce = $\frac{230}{4}$ = 57.5 calories/ounce.

Step2: Calculate for 6 ounces

Total calories = $57.5 \times 6 = 345$ calories.

Step1: Find rate per second

Rate = $\frac{25}{30}$ bounces per second.

Step2: Calculate for 150 seconds

Total bounces = $\frac{25}{30} \times 150 = 125$ bounces.

Answer:

20.5 miles

Problem 2