To determine which equation represents the given situation, we can translate the problem step by step into a mathematical equation.
1. Jared's made shots:
Jared attempted [tex]\( x \)[/tex] shots and made [tex]\( 75 \% \)[/tex] of them. Therefore, the number of shots Jared made is [tex]\( 0.75x \)[/tex].
2. Zach's made shots:
Zach attempted 10 more shots than Jared, so he attempted [tex]\( x + 10 \)[/tex] shots. Zach made [tex]\( 80 \% \)[/tex] of his attempts. Therefore, the number of shots Zach made is [tex]\( 0.8(x + 10) \)[/tex].
3. Total made shots:
Together, Jared and Zach made 101 shots. Thus, we can write the equation for the total number of made shots as the sum of Jared's and Zach's made shots:
[tex]\[
0.75x + 0.8(x + 10) = 101
\][/tex]
This equation correctly combines the number of made shots from both Jared and Zach with the total number of shots they made together.
Therefore, the correct answer is:
[tex]\[
0.75x + 0.8(x + 10) = 101
\][/tex]
