Question

On a snow day, Christopher created two snowmen in his backyard. Snowman

A was built to a height of 53 inches and Snowman B was built to a height of 41
inches. The next day, the temperature increased and both snowmen began to
melt. At sunrise, Snowman A's height decrease by 8 inches per hour and
Snowman B's height decreased by 6 inches per hour. Let A represent the
height of Snowman At hours after sunrise and let B represent the height of
Snowman B t hours after sunrise. Write an equation for each situation, in
terms of t, and determine which Snowman is taller after 3 hours.

Answer 1

To determine which snowman is taller after 3 hours, we can use the given equations A = 53 - 8t and B = 41 - 6t to calculate the heights of both snowmen at that time.

Step-by-step explanation:

To write equations for the situation, we can use the height at sunrise as the initial height for each snowman. The equation for Snowman A can be written as A = 53 - 8t, where t represents the number of hours after sunrise.

Similarly, the equation for Snowman B can be written as B = 41 - 6t. To determine which snowman is taller after 3 hours, we can substitute t = 3 into both equations and compare the values.

For Snowman A: A = 53 - 8(3) = 53 - 24 = 29 inches

For Snowman B: B = 41 - 6(3) = 41 - 18 = 23 inches

Therefore, Snowman A is taller than Snowman B after 3 hours.