Answered

IDNLearn.com is your reliable source for expert answers and community insights. Our platform provides detailed and accurate responses from experts, helping you navigate any topic with confidence.

Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate the price of his taxi ride, Jeremiah came up with the equation [tex]$P=1.80\lceil x\rceil+2.50$[/tex], where [tex]$x$[/tex] is the number of miles or partial miles traveled in the taxi.

Explain the meaning of the constant 2.50 as it relates to the situation.

A. [tex][tex]$\$[/tex]2.50$[/tex] is the base amount that Jeremiah must pay in order for the taxi to pick him up before he has been driven anywhere.
B. [tex]$\[tex]$2.50$[/tex][/tex] is the amount Jeremiah must pay as long as the taxi has not driven a complete mile.
C. For every mile or partial mile the taxi drives, Jeremiah must pay an additional [tex]$\$2.50$[/tex].
D. Jeremiah must pay [tex]$\[tex]$2.50$[/tex][/tex] plus [tex]$\$1.80$[/tex], or [tex]$\[tex]$4.30$[/tex][/tex], per mile for each taxi ride.

Sagot :

GinnyAnsweridn
Let's delve into the meaning of the constant 2.50 in the equation [tex]\( P = 1.80 \lceil x \rceil + 2.50 \)[/tex].
In this context, [tex]\(P\)[/tex] represents the total price of the taxi ride, and [tex]\( x \)[/tex] represents the number of miles or partial miles traveled.

The constant [tex]$2.50 represents the initial base fare that Jeremiah needs to pay just for the taxi to pick him up. This charge is incurred irrespective of the distance traveled. It is a fixed starting fee before any consideration of the distance. Therefore, the correct explanation is: "$[/tex]2.50 is the base amount that Jeremiah must pay in order for the taxi to pick him up before he has been driven anywhere."

This means Jeremiah will have to pay [tex]$2.50 as soon as he gets into the taxi, even if he travels zero miles. Additional charges will be calculated based on the distance traveled, with \( \lceil x \rceil \) representing the ceiling function that rounds \( x \) up to the nearest whole mile, and multiplying it by $[/tex]1.80.
Thank you for using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your search for solutions ends at IDNLearn.com. Thank you for visiting, and we look forward to helping you again.