Question

11.

11. A video game gives you 100 seconds to complete the level and move
to the next. You are halfway through the level after 55 seconds.
a. Write and solve an inequality to find out how much time you have
left to complete the level.
b. You will receive a time bonus if you finish in 70 seconds or less.
Write and solve an inequality to find how much time you have
left to earn a time bonus.
c. You finish the game in another 32 seconds. Do you earn a time
bonus? Do you move to the next level? Explain.

Answer 1

Explanation:

a. If you are halfway through the level after 55 seconds, then you have 45 seconds left to complete the level. So the inequality to represent this is:

55 + t ≤ 100, where t is the time left to complete the level.

Simplifying the inequality, we get: t ≤ 45

b. To receive a time bonus, you need to finish the level in 70 seconds or less. So the inequality to represent this is:

t ≤ 70 - 55, where t is the time left to earn a time bonus.

Simplifying the inequality, we get: t ≤ 15

c. Since you finished the game in another 32 seconds, which is greater than 15 seconds, you do not earn a time bonus. However, you still move to the next level as you finished the level within the allotted time of 100 seconds.