Question

1. jenny packaged 108 eggs in 9 cartons. write this statement as a rate.
2. anna maria read 40 pages in 60 minutes. what is her unit rate in pages per minute?
3. a bathroom shower streams 5 gallons of water in 2 minutes.

a. find the unit rate for gallons per minute and describe it in words.
b. find the unit rate for minutes per gallon and describe it in words.
in 4 and 5, find the value of n.
4.

miles	45	135
hours	4	n

1. a graph with pounds on one axis (marked 0, 1, n) and cost ($) on the other (marked 0, 2, 5).

Explanation:

Problem 1 (Jenny's Eggs)

Step1: Identify the quantities

Jenny packaged 108 eggs in 9 cartons. A rate is a ratio of two quantities. So the rate is eggs to cartons.

Step2: Write the rate

The rate is $\frac{108 \text{ eggs}}{9 \text{ cartons}}$. To simplify, we can also write it as a unit rate by dividing 108 by 9. $108\div9 = 12$. So the rate is 12 eggs per carton.

Step1: Recall unit rate formula

Unit rate for pages per minute is $\frac{\text{Number of pages}}{\text{Number of minutes}}$.

Step2: Substitute values

Number of pages = 40, Number of minutes = 60. So unit rate = $\frac{40}{60}$. Simplify the fraction: divide numerator and denominator by 20, we get $\frac{2}{3}$.

Step1: Unit rate formula

Unit rate (gallons per minute) = $\frac{\text{Gallons of water}}{\text{Minutes}}$.

Step2: Substitute values

Gallons = 5, Minutes = 2. So unit rate = $\frac{5}{2}= 2.5$.

Step3: Describe the rate

The shower streams 2.5 gallons of water per minute.

Answer:

The rate is $\frac{108 \text{ eggs}}{9 \text{ cartons}}$ or 12 eggs per carton.

Problem 2 (Anna Maria's Reading)