Measures of Center: Car prices are: $8,750, $12,400, $9,995, $15,600, $7,300, $10,850
Find the mean car price.
10,815.83
Find Q2
27.5
A car sold new for $31,500 and is now worth $17,900 after 6 years.
Write the exponential decay equation used to model this situation.
A = 31,500 (b) ^6
Two skid marks measure 72 ft and 75 ft.
Find the average skid distance.
73.5 ft
A car loan of $28,900 is financed for 6 years at 6.2% APR.
What is the monthly payment?
$481.69
Find the median price.
$10,422.50
Find Q1.
23
A car sold new for $31,500 and is now worth $17,900 after 6 years.
Calculate the annual depreciation rate, rounded to the nearest percent.
9%
Using a drag factor of 0.65 and brake efficiency of 85%, calculate the minimum speed of the vehicle.
34.9 mph
Using the monthly payment, find the total amount paid over the life of the loan.
$34,681.68
Find Q1 and Q3.
Q1 = $8,750
Q3 = $12,400
Find Q3.
32
If the car continues to depreciate at this rate, what will its value be after 8 years?
$14,826.34
How would the calculated speed change if brake efficiency were 100% instead?
2.95mph
Using your answer from the $200 question, calculate the total interest paid.
$5,781.68
Find the IQR
$3,650
Based on the quartiles, determine whether 32 psi would be considered an outlier using the IQR rule.
not an outlier
If the same skid marks occurred on gravel with a drag factor of 0.45, would the speed be higher or lower? Justify mathematically.
lower. less friction
A vehicle originally financed for 25,000 depreciates at 12% per year and is financed with a 6-year loan at 6% APR.
After calculating depreciation value and total loan interest, determine whether the buyer will owe more than the car is worth after 6 years.
Yes the buyer will owe more than the car is worth.
Total paid on loan: $29,878.56
Car value after 6 years: $11,600.36
The loan cost far exceeds the depreciated value.