Question

On a snow day, Owen created two snowmen in his backyard. Snowman A was built to

a height of 60 inches and Snowman B was built to a height of 42 inches. The next day,
the temperature increased and both snowmen began to melt. At sunrise, Snowman
A's height decrease by 6 inches per hour and Snowman B's height decreased by 3
inches per hour. Let A represent the height of Snowman At hours after sunrise and
let B represent the height of Snowman Bt hours after sunrise. Graph each function
and determine the interval of time, t, when Snowman A is taller than Snowman B

Answer 1

The equations for each function:

• A(t) = 60 - 6t
• B(t) = 42 - 3t

The lines plotted, see attached

The point at which both the snowmen have same height:

• 60 - 6t = 42 - 3t
• 6t - 3t = 60 - 42
• 3t = 18
• t = 6

The required interval is

• t = [0, 6)