\#23iListenPROBLEM SOLVING The height at the top of a roller coaster hill is 10 times the height h of the starting point. The height decreases 100 feet from the top to the bottom of the hill. The height at the bottom of the hill is −10 feet. Find h.h=Previous14151617181920212223Overview
Q. \#23iListenPROBLEM SOLVING The height at the top of a roller coaster hill is 10 times the height h of the starting point. The height decreases 100 feet from the top to the bottom of the hill. The height at the bottom of the hill is −10 feet. Find h.h=Previous14151617181920212223Overview
Denote height at top: Let's denote the height at the top of the hill as 10h.
Height at bottom: The height at the bottom of the hill is given as −10 feet.
Calculate height difference: We know the height decreases by 100 feet from the top to the bottom. So, 10h−100=−10.
Isolate 10h: Now, let's solve for h. Add 100 to both sides to isolate 10h: 10h−100+100=−10+100.
Simplify equation: Simplifying, we get 10h=90.
Divide to find h: Finally, divide both sides by 10 to find h: h=1090.
Correct calculation: So, h=9. But wait, that's not right, I made a mistake. It should be h=1090, which is 9.
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