Answer:
1.
- Gabe earns 13.5 per hour
2.
x ------------------ 4 ---- 8 --------- 12 ------ 16
Earnings ----- 57 ---- 111 ------- 165------ 219
Step-by-step explanation:
See attachment for complete question
Solving (a): Gabe's earnings per hour,
To do this, we simply calculate the slope (m) of the table.
![m = \frac{y_2 - y_1}{x_2- x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2-%20x_1%7D)
Where
![(x_1,y_1) = (3,40.5)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%283%2C40.5%29)
![(x_2,y_2) = (6,81.0)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%286%2C81.0%29)
![m = \frac{y_2 - y_1}{x_2- x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2-%20x_1%7D)
![m = \frac{81 - 40.5}{6 - 3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B81%20-%2040.5%7D%7B6%20-%203%7D)
![m = \frac{40.5}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B40.5%7D%7B3%7D)
![m = 13.5](https://tex.z-dn.net/?f=m%20%3D%2013.5)
Hence, Gabe earns 13.5 per hour
Solving (b): Jordan earnings
First, we calculate the equation of Gabe's table using:
![y - y_1 = m(x - x_1)](https://tex.z-dn.net/?f=y%20-%20y_1%20%3D%20m%28x%20-%20x_1%29)
Where
and ![(x_1,y_1) = (3,40.5)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%283%2C40.5%29)
![y - 40.5 = 13.5(x - 3)](https://tex.z-dn.net/?f=y%20-%2040.5%20%3D%2013.5%28x%20-%203%29)
![y - 40.5 = 13.5x - 40.5](https://tex.z-dn.net/?f=y%20-%2040.5%20%3D%2013.5x%20-%2040.5)
![y = 13.5x](https://tex.z-dn.net/?f=y%20%3D%2013.5x)
If Jordan earns 3 more per hour than Gabe, then: Jordan's equation would be;
![y = 13.5x + 3](https://tex.z-dn.net/?f=y%20%3D%2013.5x%20%2B%203)
When x = 4
![y = 13.5*4 + 3 = 54 + 3 = 57](https://tex.z-dn.net/?f=y%20%3D%2013.5%2A4%20%2B%203%20%3D%2054%20%2B%203%20%3D%2057)
When x = 8
![y = 13.5*8 + 3 = 108 + 3 = 111](https://tex.z-dn.net/?f=y%20%3D%2013.5%2A8%20%2B%203%20%3D%20108%20%2B%203%20%3D%20111)
When x = 12
![y = 13.5*12 + 3 = 162 + 3 = 165](https://tex.z-dn.net/?f=y%20%3D%2013.5%2A12%20%2B%203%20%3D%20162%20%2B%203%20%3D%20165)
When x = 16
![y = 13.5*16 + 3 = 216 + 3 = 219](https://tex.z-dn.net/?f=y%20%3D%2013.5%2A16%20%2B%203%20%3D%20216%20%2B%203%20%3D%20219)
Given:
1 mile = 5280 feet
1 meter = 3.3 feet
convert 60 miles per hour to meters per second
60 miles to meters
60 miles x <u>5280ft</u> x <u>1meter</u> = (60*5280m)/3.3 = 316800m/3.3
1 mile 3.3ft
= 96,000 meters
1 hour to seconds
1 hour x <u>60 minutes</u> x <u>60 seconds</u> = 1 * 60 * 60sec = 3600 seconds
1 hour 1 minute
unit rate: meters per second
96000 meters ÷ 3600 seconds = 26 2400/3600
simplify 26 2400/3600 ⇒ 26 2/3 meters per second
2400 ÷ 1200 = 2
3600 ÷ 1200 = 3
Answer: A
Step-by-step explanation:
To start this, try to place it all together.
(x)+(x+2)+(x+4)=36
Then you start to combine so that it looks like this:
3x+6=36
I believe that is one of the choices. Do you need more explanation?