Slope
Find the slope of the line that passes through the points (2,6) and (-3,10)
(Hint: slope is change in y divided by change in x)
-4/5
Lilly and Max are selling lemonade. Lilly's costs were $20 for setup. Max found a sale and his setup costs were $12. Lilly is selling her lemonade for $1.75 per cup, while Max is selling his for $1.25 each.
At what point will Lilly have made more profit than Max?
1.25x - 12 < 1.75x - 20
-12 < 0.50x - 20
8 < 0.5x
16 < x so x > 16
This implies, at 16 cups sold Lilly and Max will have "made" the same amount after costs; but after 16 cups, Lilly will be making more than Max.
Find the slope of a line parallel to the points (1,1) and (2,8)
m=7
A test has 15 questions worth 75 points. The fill in the blank questions are 4 points each and the multiple choice questions are 3 points each. How many of each type are there?
x+y=15
3x+4y=50
3(15-y)+4y=50
45-3y+4y=50
y=5 therefore x+5=15 so x=10
10 multiple choice and 5 fill in the blanks.
Find the slope of a line perpendicular to the points (-2,4) and (5,-1)
m=7/5
The total cost of renting a kayak is given by the equation k=50+12h. If the total cost was $110, how many hours was the kayak rented for?
110=50+12h
60=12h
5=h
The following lines are given: y = 3x-2 and y = -3x+6
Are they parallel, perpendicular, or neither?
Neither
The difference in two integers is 28. The second integer is triple the first.
y-x=28
y=3x
therefore 3x-x=28
2x=28
x=14
so y=3x implies y=3(14)=42.
The following lines are given: 7x-3y=21 and y=-3/7x+8
Are they parallel, perpendicular, or neither?
Perpendicular
What is Mrs. Kayla's daughters name?
Avori