# Tutor profile: Jillian S.

## Questions

### Subject: Pre-Algebra

Bowling World Charges $8 per hour and $4 for shoes to bowl on Friday nights. Bowl City charges $12 per hour and $2 for shoes on Friday night. Write and Solve an equation to determine oh long you have to bowl for Bowling World and Bowl City to cost the same amount.

To solve this problem we would need to create two equations and set them equal to each other since we are looking for the time that both bowling venues would cost the same. We will let x = number of hours. 8x + 4 = 12x + 2 then solve for x, the number of hours. 8x - 8x + 4 = 12x - 8x +2 4 = 4x + 2 4 - 2 = 4x + 2 - 2 2 = 4x 2/4 = 4x/4 2/4 or 1/2 = x So you can bowl for 1/2 an hour and both bowling venues will cost the same.

### Subject: Basic Math

Cindy goes to the store to buy groceries. She purchases 3/4 a pound of grapes for $3.50 a pound. How much money did she spend on grapes?

We know that Cindy bought less than a pound of grapes, since 3/4 is less than a whole, so we know she will spend less than $3.50. What we need to determine is how much is 3/4 of $3.50. We can determine this by multiplying 3/4 and $3.50. Since we have a fraction and a decimal then we need to convert 3/4 to a decimal. 3/4 x 25 = 75/100 = 0.75. We can now multiply 0.75 and 3.5. So Cindy spent $2.625, rounded to the nearest cent will be $2.63 on grapes.

### Subject: Algebra

What is the equation in slope intercept form for a line that passes through (3, 2) and (4, -5).

To determine the equation when given two points on a coordinate plane you must 1st use the Slope of a line formula m = y2 - y1/x2 - x1 to determine the slope of the line. m = (-5 - 2)/(4 - 3) m = -7/1 or -7 After finding the Slope of the line (m) you can use the slope and 1 point to put into the equation y = mx +b and solve for b, the y intercept. Lets use the point (3,2) 2 = -7(3) +b 2 = -21 + b 2+21 = -21 +21 23 = b Now you can make the equation is y = -7x + 23. You can also check your answer by inserting one of the points above into this equation to check. Lets use (3,2) again.. 2 = -7(3) + 23 2= -21 + 23 2 =2 check

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