There is currently 2 inches of snow on the ground in a certain Massachusetts city. Every hour, another 0.5 inches covers the ground. Model the total amount, T, of snow on the ground for h, the number of hours the snow has been falling.
A. T(h) = 0.5h - 2
B. T(h) = 0.5h + 2***
C.T(h) = 2h - 0.5
D.T(h) = 2h + 0.5
looks good
To model the total amount of snow on the ground for a given number of hours, we need to determine how the snow accumulates over time.
According to the given information, initially there are 2 inches of snow on the ground. Then, for every hour that the snow is falling, an additional 0.5 inches covers the ground.
We can use this information to create a mathematical expression that represents the total amount of snow on the ground after h hours.
Starting with the initial 2 inches of snow on the ground, we can add the amount of snow that accumulates over h hours, which is 0.5 inches per hour. Therefore, the mathematical expression is:
T(h) = 2 + 0.5h
Now, let's look at the answer choices in order to determine which one matches our expression:
A. T(h) = 0.5h - 2 : This expression does not account for the initial 2 inches of snow.
B. T(h) = 0.5h + 2 : This expression correctly represents the total amount of snow on the ground after h hours, as it includes the initial 2 inches of snow and adds 0.5 inches for each hour.
C. T(h) = 2h - 0.5 : This expression does not account for the accumulation of snow and it incorrectly uses the variable h instead of a constant value of 0.5.
D. T(h) = 2h + 0.5 : This expression does not account for the accumulation of snow and it incorrectly uses the variable h instead of a constant value of 0.5.
Therefore, the correct answer is B. T(h) = 0.5h + 2.