Solve the problem by setting up and solving an appropriate inequality. Stacy bowled 170 and 140 in her first two games. What must she bowl in the third game to have an average of at least 140 for the three games?
A) $x \geq 130$
B) $x 110$
C) $x \geq 110$
D) $x 130$

Question

Solve the problem by setting up and solving an appropriate inequality. Stacy bowled 170 and 140 in her first two games. What must she bowl in the third game to have an average of at least 140 for the three games?
A) $x \geq 130$
B) $x > 110$
C) $x \geq 110$
D) $x > 130$

Quizplus · Accepted Answer

Let's call the score Stacy needs to have an average of 140 "x".

To find out the inequality that represents this problem, we can use the formula for calculating an average:

average = (sum of numbers) / (number of numbers)

In this case, we want Stacy's average to be at least 140, so:

140 ≤ (170 + 140 + x) / 3

Multiplying both sides by 3:

420 ≤ 310 + x

Subtracting 310 from both sides:

110 ≤ x

So Stacy must bowl at least 110 in her third game to have an average of at least 140 for the three games. The answer that represents this inequality is choice C.

Solve the Problem by Setting Up and Solving an Appropriate x≥130x \geq 130x≥130

Solve the Problem by Setting Up and Solving an Appropriate $x \geq 130$