12. Answer: 2130
<u>Step-by-step explanation:</u>
T = -0.01y + 10.6
9.2 = -0.01y + 10.6
<u>-10.6</u> <u> -10.6 </u>
-1.4 = -0.01y
<u> ÷-0.01</u> <u>÷-0.01 </u>
140 = y
"y" represents the number of years after 1990
1990 + 140
= 2130
**************************************************************
13. Answer: -0.0036° per foot
<u>Step-by-step explanation:</u>
Since the relationship is linear, then we can set up the values as x, y coordinates and use the slope formula to find the rate of degrees over feet.
(6562, 63) and (16405, 28)
rate = ![\frac{28 - 63}{16405-6562}](https://tex.z-dn.net/?f=%5Cfrac%7B28%20-%2063%7D%7B16405-6562%7D)
= ![\frac{-35}{9843}](https://tex.z-dn.net/?f=%5Cfrac%7B-35%7D%7B9843%7D)
= ![\frac{-0.0036}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B-0.0036%7D%7B1%7D)
**************************************************************
14. Answer: $0.28 per kWh
<u>Step-by-step explanation:</u>
Same reason as #13
(200, 55) and (500, 140)
rate = ![\frac{140-55}{500-200}](https://tex.z-dn.net/?f=%5Cfrac%7B140-55%7D%7B500-200%7D)
= ![\frac{85}{300}](https://tex.z-dn.net/?f=%5Cfrac%7B85%7D%7B300%7D)
= ![\frac{0.28}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B0.28%7D%7B1%7D)