Question

Vera is on her school's track and field team. In a practice long-jump competition against her teammates, she gets 5 points for landing over the closer line and 10 points for landing over the farther line. She gets a total of 7 jumps and lands x times over the farther line and the rest of the times over the closer line. Which of the following functions represents Vera's total score

• A. $f\left(x\right)=10x$
• B. $f\left(x\right)=5x+35$
• C. $f\left(x\right)=10x+5$
• D. $f\left(x\right)=70-5x$

Answer 1

The correct option is B $f\left(x\right)=5x+35$

Vera's scores 5 points in long jump if she lands over closer line and 10 points if she lands over farther line.

She gets total 7 jumps out of which she lands over farther line for $x$ times and hence $7-x$ times over closer line.

Thus she scores $10x$ points for landing over farther line and for landing over closer line she will score $5(7-x)$ points.

So total score $10x+5(7-x)$

Thus total score $5x+35$