# Tutor profile: Elizabeth K.

## Questions

### Subject: Geometry

Ben plays baseball. He was called out on second base and walked from second base to home plate to get to his dugout. How many feet did Ben walk before heading to the dugout. (*Note: it is 90 feet between the bases)

From home plate to first base to second base and back to home will create a right triangle. As the distance from home to first and first to second is 90 feet each, we can use the Pythagorean theorem to determine the distance between second base and home plate. 90^2 + 90^2 = c^2 8100 + 8100 = c^2 16,200= c^2 sqrt(16,200) = c 127.28 = c The distance from home plate to second base is approximately 127.28 feet, or 127 feet.

### Subject: Pre-Algebra

Ellen is comparing the cost of two different packages of toilet paper. She can buy 18 mega rolls for $28.36 or she can buy 12 mega rolls for $15.56. Which is the better buy? Justify your answer.

18 rolls/$28.36 = 1 roll/$1.58 12 rolls/$15.56 = 1 roll/$1.30 It is more cost effective for Ellen to buy the package of 12 rolls for $15.56 because the cost per roll is lower.

### Subject: Algebra

Develop a story that could be modeled by a graph of the equation y = 40x + 80.

My story pertains to cost of a gym membership. The y-intercept of the equation is 80, which represents an initial value and the slope of 40 represents the constant rate of change. Jan spent $80 to sign up at GainzGym. The monthly membership fee is $40 per month. Y is the total amount Jan spends on her gym membership and is a function of the number of months that she is a member, x.

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