Question

You are playing a new video game. The table shows the proportional relationship between the number of levels completed and the time it took you to complete them. Number of Levels 2 3 Time (hours) ? 1.5 How many minutes does it take you to complete 2 levels? 30 minutes 45 minutes 60 minutes 75 minutes

Answer 1

The time to complete 2 levels is (c) 60 minutes

How to determine the time to complete 2 levels?

The table of values is given as

Number of Levels     Time (hours)

2                                         ?

3                                         1.5

Express the blank (?) with y

Number of Levels     Time (hours)

2                                          y

3                                         1.5

The ordered pairs from the table are

(x, y) = (2, y) and (3, 15)

The table shows the proportional relationship

This means that the equation can be represented as

y = Y/X * x

Where

(x, y) = (2, y)

(X, Y) = (3, 1.5)

So, we have

y = 1.5/3 * 2

Evaluate the quotient

y = 0.5 * 2

This gives

y = 1 hour

Convert to minutes

y = 60 minutes

Hence, the time is 60 minutes

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