Question

The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
Gain 25x yards.
Gain 0.9y yards.
Lose 12y yards.
Lose 5.2x yards.
What is the net yardage for these four plays?
Enter your answer as an expression, like this: 42x+53y

Answer 1

To find the net yardage for the four plays, we need to combine the gains and losses of yardage.

1. Gain 25x yards: \( +25x \)
2. Gain 0.9y yards: \( +0.9y \)
3. Lose 12y yards: \( -12y \)
4. Lose 5.2x yards: \( -5.2x \)

Now, let's combine the gains and the losses for each variable:

For the variable \( x \):
\( +25x - 5.2x = (25 - 5.2)x = 19.8x \)

For the variable \( y \):
\( +0.9y - 12y = (0.9 - 12)y = -11.1y \)

Now we can express the net yardage as follows:

Net yardage = \( 19.8x - 11.1y \)

Thus, the final answer is:

\[
19.8x - 11.1y
\]