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:
[tex]x > \frac{24}{0.9}[/tex]
x > 26.66 or
x > 26 [tex]\frac{2}{3}[/tex]
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!
