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9. ned and oprah are preparing for a party. ned blows up 9 balloons in …

Question

  1. ned and oprah are preparing for a party. ned blows up 9 balloons in 15 minutes. oprah blows up 12 balloons in 19 minutes. who is blowing up balloons faster?

9a complete the table for the number of balloons ned blows up in each time period. assume that he keeps blowing up balloons at a constant rate.
time (minutes) 15 45 60
balloons 9 18

Explanation:

Step1: Find Ned's balloon rate

Rate = $\frac{\text{Balloons}}{\text{Time}} = \frac{9}{15} = 0.6$ balloons per minute

Step2: Find time for 18 balloons

Time = $\frac{\text{Balloons}}{\text{Rate}} = \frac{18}{0.6} = 30$ minutes

Step3: Find balloons in 45 minutes

Balloons = $\text{Rate} \times \text{Time} = 0.6 \times 45 = 27$

Step4: Find balloons in 60 minutes

Balloons = $\text{Rate} \times \text{Time} = 0.6 \times 60 = 36$

Answer:

Time (minutes)15304560