A one-way ride on a subway costs $0.90.A monthly pass costs $24.Write an inequality that represents how many one-way rides you can buy before it is cheaper to buy the monthly pass. Is it cheaper to buy the monthly pass?Is it cheaper to pay the one-way fare for 25 rides? Explain.

Step-by-step explanation:

To write the inequality, let x be the number of trips:

As we are finding how many rides until it is cheaper, we will be using the greater than sign:

0.90 * x > 24

To isolate x, we need to divide both sides by 0.9:

x > 26.66 or

x > 26

Rounding down as too little money will result in no trip:

x > 26

This means that it is cheaper to buy individual tickets until 26 rides which are when the monthly pass will be better.

Hope this helps!

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

c

step-by-step explanation: