Question

11.
use the table to write a proportion. (section 5.3)
12.

	monday	tuesday
dollars	42	56
hours	6	h

13.

	series 1	series 2
games	g	6
wins	4	3

1. music download the amount of time needed to download music is shown in the table. find the unit rate in megabytes per second. (section 5.1)

seconds	6	12	18	24
megabytes	2	4	6	8

1. sound the graph shows the distance that sound travels through steel. interpret each plotted point in the graph of the proportional relationship. (section 5.2)

graph: sound through steel, x-axis: time (seconds), y-axis: distance (km), points (0,0), (2,12), (4,24)

1. gaming you advance 3 levels in 15 minutes. your friend advances 5 levels in 20 minutes. do these rates form a proportion? explain. (section 5.2)
2. class time you spend 150 minutes in 3 classes. write and solve a proportion to find how many minutes you spend in 5 classes. (section 5.3)

Explanation:

Question 12:

Step1: Identify proportional relationship

The dollars and hours should be proportional, so \(\frac{42}{6}=\frac{56}{h}\).

Step2: Solve for \(h\)

Cross - multiply: \(42h = 56\times6\). Then \(42h=336\), and \(h=\frac{336}{42}=8\).

Step1: Set up proportion

Since games and wins are proportional, \(\frac{g}{4}=\frac{6}{3}\).

Step2: Solve for \(g\)

Cross - multiply: \(3g = 4\times6\). So \(3g = 24\), and \(g=\frac{24}{3}=8\).

Step1: Recall unit rate formula

Unit rate (megabytes per second) is \(\frac{\text{Megabytes}}{\text{Seconds}}\).

Step2: Calculate using table values

Take the first pair: \(\frac{2}{6}=\frac{1}{3}\approx0.33\) megabytes per second (or check other pairs: \(\frac{4}{12}=\frac{1}{3}\), \(\frac{6}{18}=\frac{1}{3}\), \(\frac{8}{24}=\frac{1}{3}\)).

Answer:

\(h = 8\)

Question 13: