Welcome to the New York International Auto Show Education Week Worksheet—
GRADES
the official starting pack to turn you from Auto Show rookie to automotive pro!
11-12
You’re going to need a pencil, a calculator, and a head full of your favorite cars.
So take notes, ask questions, and most importantly, have fun!
You’re financing a base model Dodge Challenger. The loan term is 48 months at a 5.99% APR.
Calculate your monthly payments and the final total cost for this purchase.
You’ll have to find the price of a base model Dodge Challenger. You can find this information on the Auto
Show floor or by asking a manufacturer representative. Once you have this (your initial principal), use the
following formula to calculate your monthly payments:
p = ( P0
*
r
*
( 1 + r ) n ) / ( (1 + r) n - 1 )
Here, p = your monthly payment, P0 = the initial principal, r = the monthly percentage rate, and n = the
number of payments.
Hint: In order to find the monthly percentage rate, you’ll have to divide your APR by 12 (the number of
months in a year).
Once you have your monthly payment, multiply this number by 48 months to find the final total cost for
the Dodge Challenger.
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Select any sedan and any crossover on the New York International Auto Show floor. The sedan leaves New
York City at 5pm, traveling at an average speed of 30mph. One hour later, the crossover also leaves New York
City, traveling at an average speed of 45 mph. How far will the crossover have to travel until it catches up
with the sedan? Also, which one will run out of gas first?
First, you must determine how long it will take the crossover to catch up to the sedan. You can find this
answer by using the following equation:
45 miles per hour * x = 30 miles + 30 miles per hour * x
You will find that x = 2 hours.
A vehicle traveling at an average speed of 45 miles per hour for 2 hours will travel 90 miles, the point at which
the crossover catches the sedan.
The answer to the second part of this question depends on the average fuel economy of each vehicle. For
example, if the sedan advertises a city fuel economy of 18 miles/gallon, and has a fuel-tank capacity of 12
gallons, then you can assume that the car will need to fill up approximately every 216 miles. When finding your
answer, keep in mind that the sedan will travel 30 miles before the crossover even starts its trip.
You’re taking a road trip in your Chevrolet Volt. You start with 10 gallons of gas and a fully charged battery.
How far can you drive before you have to recharge and/or fill up with gas?
The Chevy Volt advertises that it can travel 53 miles without using gas, thanks to its lithium-ion battery. So, with
a full charge, you should travel at least that far! The gas-powered generator will then perform at an efficiency of
approximately 42 miles per gallon. In this problem, we are assuming that the Volt can hold a 10-gallon supply of
gas, which means it can travel an additional 420 miles. Add that to the 53 miles from the fully charged battery,
and you arrive at your answer of 473 miles.
Choose your favorite SUV at the New York International Auto Show. How quickly does this car
accelerate to 60 mph? How far will the car travel in that time?
Once you’ve picked out your favorite SUV, determine the time it takes to go from 0 mph to 60 mph by reading any
available vehicle information or speaking with a manufacturer representative. In math and physics, acceleration
is usually expressed in meters/second. Since 1 meter equals .000621371 miles, 60 miles per hour translates to
26.8224 meters per second. To find the vehicle’s acceleration, you will have to use the following formula:
a=
change in velocity
change in time
Remember, we are using meters and seconds as our standard units of measure.
Once you have your acceleration, you can determine distance traveled by using the next formula:
d = at2
This will give you the distance traveled, in meters. Convert these meters to miles and you will arrive at your answer!