Question

When Lucia plays golf at the Rolling Hills golf course, she loses about 12 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 8 balls on average. If Lucia lost approximately 100 balls after playing at Rolling Hills rr times and Meandering Meadows mm times, which of the following equation best represents the relationship between rr and mm?


When Lucia plays golf at the Rolling Hills golf course, she loses about 12 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 8 balls on average. If Lucia lost approximately 100 balls after playing at Rolling Hills rr times and Meandering Meadows mm times, which of the following equation best represents the relationship between rr and mm?


8r+12m=1008r+12m=100

12r+8m=10012r+8m=100

12r-8m=10012r−8m=100

8r-12m=1008r−12m=100

Answer 1

The relationship between the number of balls Lucia lost at the golf

courses can be expressed as an equation.

• The equation that best represents the relationship between r and m is; 12·r + 8·m = 100

Reasons:

The given parameters are;

The number of balls Lucia loses at the Rolling Hills, r = 12 balls

The number of balls Lucia loses at the Meandering Meadows, m = 8 balls

The total number of balls Lucia lost after playin at Rolling Hills and Meandering Meadows = 100 balls

The relationship between r and m is therefore;

Number of balls lost at Rolling Hills + Number of balls lost at Meandering Meadows = 100

12 × r + 8 × m = 100

12·r + 8·m = 100

The equation that best represents the relationship between r and m is therefore; 12·r + 8·m = 100

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