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Tina is playing a computer game. She starts with 100 points, and she loses points based on the following rules: • Each time a player passes a level, 8 points are lost. • Each time a player catches a flower, 3 points are lost. Suppose Tina catches 6 flowers per level, on average. Solve an inequality to determine the number of levels she must complete to have fewer than 20 points left.

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Answer: she must complete 4 levels to have a point fewer than 20

Step-by-step explanation:

Given the following :

Starting point = 100 points

Passing a level = - 8 points

Catching a flower = - 3 points

Suppose Tina catches 6 flowers per level

Number of levels she must complete to have fewer Than 20 points

Total number of points lost per level:

Catching 6 flowers = -(6 × 3)

Passing the level = - 8

= - 18 + - 8 = - 26 points

Number of levels she must complete to have < 20

Let number of levels = y

Starting points - (26 × number of levels) < 20

100 - (26y) < 20

100 - 26y < 20

-26y < 20 - 100

-26y < - 80

y > 80/26

y > 3.07

Hence she must complete 4 levels to have a point fewer than 20

Answer:

Tina must complete 4 levels