Rational Functions
Determine the "a" value of a rational function that has a mirror height of 4 cm, a mirror distance of 19 cm, a laser distance of 61 cm and a reflection height of 6.33 cm.
a = 97.86
Determine the length of the skid marks of a vehicle that was driving 97 mph.
L = 470.45 feet
Determine the equation of a bank account that offers a 4.5% interest rate that is starting with $1200
1200(1.045)^t
Determine the "a" value of a rational function that has a mirror height of 3.12 cm, a mirror distance of 14.5 cm, a laser distance of 44.78 cm and a reflection height of 5 cm.
a = 56.926
Determine the speed of a vehicle that left skid marks that were 154 feet long.
Determine the equation for a bank account that starts with $1750 and adds $150 per year that the account is open.
1750 + 150t
If the equation to represent a reflected laser is y = 25/(x-21) + 2.1, how far would somebody have to stand to hit a target that is 33 cm high?
x = 21.809
Determine the speed of a vehicle that left skid marks that are 102 feet long. If the speed limit in the area is 40 mph, is the driver a felon?
V = 45 mph, no, he is not a felon
When is second bank better than the first bank?
If the bank account is open for less than 44 years.
If the equation to represent a reflected laser is y = 25/(x-21) + 2.1, how high is the target if the person stood 33 cm from the wall?
y = 4.183
Kobe, Shaq, and Derek are running the triangle offense. Kobe and Shaq are 10 feet away from each other, Derek and Kobe are 15 feet away from each other. Kobe's corner creates a 90 degree angle with Shaq and Derek. How far is Derek from Shaq?
18.02 feet
When is the first bank better than the second bank?
If it is being kept for at least 44 years.
What is the lowest point the reflection goes if the equation is y = 25/(x-21) + 2.1? Why is that?
2.1, that is the height of the mirror, reflection cannot be lower than the mirror.
Two towers are on the same side of a street. One tower is 4 feet away from from the street, the other tower is 15 feet away from the street. The street segment is a certain distance in length. Find the distance between the two towers.
sqrt( sqrt(x^2 + 225) - 16)
Determine the equation of a depreciation model that has a y - intercept of 1000 and two points that are on the graph are (2, 810) and (4, 656.10)
y = 1000(1 - 0.10)^x