Answer:
(a) d = 2h + 5
Explanation:
Note:
After 2 hours, the snow is at a depth of 9 inches.
After 8 hours it is at a depth of 21 inches.
Note that the variable h stands for hours, and d stands for depth. The easiest way to solve this question is to plug in the given time (t) and depth (d) and see if the equation is correct:
a. d = 2h + 5
First, take into consideration that after 2 hours (h = 2), the depth is 9 inches (d = 9)
Plug in the corresponding numbers to the corresponding variables:
d = 2h + 5
(9) = 2(2) + 5
Solve. Remember to follow PEMDAS, the order of operations. First, multiply, then add:
9 = (2 * 2) + 5
9 = (4) + 5
9 = 9 (True).
Next, take into consideration 8 hours (h = 8), the depth being 21 inches (d = 21).
Plug in the corresponding numbers to the corresponding variables:
d = 2h + 5
(21) = 2(8) + 5
Solve. Multiply first, then add:
21 = (2 * 8) + 5
21 = 16 + 5
21 = 21 (True).
∴ (a) d = 2h + 5 is your answer.
~
The easiest way to solve these types of problems is to simply plug in the given time and amount to see which one, when solved, is true.