Question

On a snow day, Faith created two snowmen in her backyard. Snowman A was built toa height of 34 inches and Snowman B was built to a height of 24 inches. The next day,the temperature increased and both snowmen began to melt. At sunrise, SnowmanA's height decrease by 6 inches per hour and Snowman B's height decreased by 4inches per hour. Let A represent the height of Snowman A t hours after sunrise andlet B represent the height of Snowman B t hours after sunrise. Graph each functionand determine the interval of time, t, when Snowman A is taller than Snowman B.so below is the graph i have right now and the app for no reason disconnected me from my tutor so i cant ask him if its right and i just need confirmation if this is right or wrong and if its wrong, where the lines should be instead

Answer 1

Snowman A.

The initial height of 34 inches.

It decreased by 6 inches per hour.

Remember that the initial condition is the constant term and the ratio of decrease is the coefficient of t. So, the expression that represents this situation is

`y=-6t+34`

Snowman B.

The initial height of 24 inches.

It decreased by 4 inches per hour.

Using the same reasoning, we express the following

`y=-4t+24`

Observe that the coefficients have to be negative because we are talking about decreasing.

Now, we graph both equations. The image below shows both of them.

According to the graph, during the first 5 hours, snowman A was taller than snowman B.