From everyday questions to specialized queries, IDNLearn.com has the answers. Ask any question and receive accurate, in-depth responses from our dedicated team of experts.
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.
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. IDNLearn.com is your reliable source for answers. We appreciate your visit and look forward to assisting you again soon.