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Sagot :
Austin has two options:
Option 1: Pay $40 for unlimited rides
Option 2: pay $16 plus $2 per ride
For the two options to end up costing the same amount, the second option needs to end up being $40, because the payment in the first option is already fixed to $40.
That answers the first question:
What is the cost? $40
Now we need to find how many rides are needed for the second option to cost $40.
We will call the number of rides "x", and thus, since in the 2nd option there is an admission cost of 16 and a cost of $2 per ride, the expression that represents the cost is in option 2 is:
[tex]16+2x[/tex]And since we know that the cost has to be $40 to be equal to the cost of option 1:
[tex]16+2x=40[/tex]And now we solve this equation for the number of rides x.
First, Subtract 16 to both sides of the equation:
[tex]16-16+2x=40-16[/tex]On the left side, 16-16 cancel each other, and on the right side 40-16 is 24, thus:
[tex]2x=24[/tex]Finally, divide both sides of the equation by 2 to find the value of x:
[tex]\begin{gathered} \frac{2x}{2}=\frac{24}{2} \\ \\ x=12 \end{gathered}[/tex]The number of rides for the second option to be equal in cost to the first option is 12 rides.
Answer:
The cost is $40 and the number of rides is 12.
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