Math

QuestionA quarterback throws an average of 65 yards ± 10 yards. Write equations for max and min yards thrown. y+10=65 |y+10|=65 y10=65 |y-10|=65 y+65=10 |y+65|=10 y65=10 |y-65|=10

Studdy Solution

STEP 1

Assumptions1. The average yards thrown by the quarterback is65 yards. . The variation in the throw is plus or minus10 yards.
3. We are asked to find the maximum and minimum yards thrown on average.

STEP 2

First, we need to understand the problem. The quarterback throws for an average of65 yards, but this can vary by plus or minus10 yards. This means the maximum yards thrown is65 +10 and the minimum yards thrown is65 -10.

STEP 3

We can represent this as two separate equations, one for the maximum yards thrown and one for the minimum yards thrown.
For the maximum yards thrownymax=Averageyards+Variationy_{max} = Average\, yards + VariationFor the minimum yards thrownymin=AverageyardsVariationy_{min} = Average\, yards - Variation

STEP 4

Now, plug in the given values for the average yards and variation to calculate the maximum and minimum yards thrown.
For the maximum yards thrownymax=65+10y_{max} =65 +10For the minimum yards thrownymin=6510y_{min} =65 -10

STEP 5

Calculate the maximum and minimum yards thrown.
For the maximum yards thrownymax=65+10=75y_{max} =65 +10 =75For the minimum yards thrownymin=6510=55y_{min} =65 -10 =55The equations representing the maximum and minimum yards thrown on average are ymax=75y_{max} =75 and ymin=55y_{min} =55 respectively.

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