DO THE PROBLEM DOWN BELOW I WILL MARK BRAINLIEST AND GIVE 100 POINTS:Unit 1: Ratios and Rates Answer the questions below. Total score: __ of 15 points (Score for Question 1: _ of 4 points) 1. Mrs. Jolley is thinking of buying solar panels to put on the roof of her new house. The Sunny Solar Company told her that for every 2 panels, she will save $60 on her electric bill. (a) Draw a model or make a visual representation for the ratio of the panels to the money that she will save on her electric bill. (b) Write the ratio of panels to money saved as a reduced fraction. Show your work (Score for Question 2: _ of 5 points) 2. Mrs. Jolley likes that she can save money on her electric bill by going solar, but she needs to know how much it is going to cost to set up her new system. She figures that it should take about 9 panels to start. They sent her the following prices of solar panels: # panels Price ($) 2 3,000 3 4,500 5 7,500 9 ? (a) What is the price per of each panel? Show your work—make sure to show at least two different calculations to show they both have the same answer. (b) How much will 9 panels cost her? Show your work. (Score for Question 3: _ of 6 points) 3. Mrs. Jolley has determined that she does want to go ahead and get those solar panels installed. Now she has to find an installer. Her friends have also had solar installed and here are the companies that they used, how many hours they took to install their panels and their total price: Company # of hours Total price (in dollars) ABC Co. 5 128 Solar R’ Us 6 181 Light in the Sky 8 195 (a) What is the price per hour for each company? Show your work and remember your rounding rules. (b) Which company is the best deal? Explain

1. Basically, a ratio is a relation between two values, such that the change of one value will result in the same proportional change in the other (if one value increases 6 times, or decreases 4 times, for example, the same will happen with the other value too.

Since Mrs. Jollie will save $60 for every two panels, then the ratio is:

2 panels: $60

Every ratio can be written in a form of fraction, by simply dividing these values:

2/60

or, as a reduced fraction:

1/30

2. Now we are given several ratios, which we need to use to find price for 9 panels.

First way:

we can set a proportion because we already said that if we change one value, others will change proportionally as well. So, we take any of these ratios and make a proportion:

2 : $3,000 = 9 : $ x

Solving for x, we get:

x = $3,000 • 9 / 2

x = $13,500

Second way:

From the ratio, we can find the price for a single panel. Then, we simply multiply that with 9 and find the price for nine panels:

one panel costs $3,000 / 2 = $1,500

nine panels cost $1,500 • 9 = $13,500

3. Now, we are again given several ratios and we need to find the price per hour for each company. We can do this by simply dividing:

- ABC Co. 5h : $128

so, price per hour is $128/5 = $25.6

- Solar R' Us 6h : $181

so, price per hour is $181/6 = $30.17

- Light in the Sky 8h: $195

so, price per hour is $195/8 = $24.4

So, the best deal means that the price per hour is the lowest, so the best deal is the Light in the Sky company.