7) Skateboarding down a hill or a ramp. Rolling a ball on the floor. Going up and down the ramp of a moving truck.
8) Throwing a ball into the air and then catching it. Skateboarding a half-pipe. Shooting a basketball. Hitting a baseball.
Answer:
3:1
Step-by-step explanation:
y = 1/3x
The slope is 1/3 ( the slope is the number with the variable x).
There is no other operation ( addition or subtraction) so the y- intercept is 0
The first point of the graph would be (0,0)
Calculate another point , lets use x = 3
y = 1/3(3) = 1
The second point is (3,1)
The line of the graph is an angled line which is located in quadrant 1 and 3.
See attached picture:
Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.
We need find when x has the same value in both equations, so we do their equality:
38x + 15 = 31x + 78
Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
38x = 31x + 63
Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:
38x = 31x + 63
38x - 31x = 31x - 31x + 63
7x = 63
Divide both sides by 7 to have the variable x on a side and its value on the other:
(7x)/7 = 63/7
x = 9
So at month 9, the 2 plans will cost the same.
Let's check our answers, and let y be the cost:
y = 38x + 15 = 38*9 + 15 = 357
y = 31x + 78 = 31*9 + 78 = 357
Our answer has been approved.
Hope this helps! :D
