Vocabulary
Equations
Miles & Gallons
Conversions
Calculations
100
What does the slope represent in a straight-line depreciation equation?
The value lost in one year.
100
What is the cost of a 6-line ad in a newspaper that charges $27 for up to 2 lines and $3 for each additional line.
27 + 3(4) = $39
100
You have $20 and need to buy gas. If gas is $3.75/gal, how many gallons can you buy? Round to the nearest tenth.
$20/3.75 = 5.3 gals
100
How many feet does a car travel in 1 hour if it is driving 27 mph?
27(5280) = 142,560 ft/hr
100
Find Q1, Q2, Q3 and the mean of the following data set: 15, 17, 21, 25, 31, 32, 32, 32, 34
mean: 239/9 = 26.56 Q1: (21+17)/2 = 19 Q2: 31 Q3: (32+32)/2 = 32
200
Why is the slope in a depreciation equation always negative?
Because depreciation means to lose value, so the line will be decreasing and the negative indicates a loss.
200
How much will it cost for a 7-line ad represented by the following piece-wise function: . 34 x<5 34 + 3(x-5) x>5
34 + 3(7-5) = $40.
200
John paid $52.47 to fill his tank. Gas was $3.83/gal. How many gallons did he get? Round to the nearest tenth.
$52.47/3.83 = 13.7 gal
200
How many feet does a car travel in 1 second if it is traveling 33 mph?
33(5280) = 174,240 ft/hr 174,240/60 = 2904 ft/min 2904/60 = 48.4 ft/sec
200
What is the braking distance for a car driving 25 mph?
625/20 = 31.25 ft
300
What is an outlier?
An extreme value above or below the rest of the data points. Mathematical outlier boundaries: Q1 - 1.5(IQR) and Q3 + 1.5(IQR)
300
What is the slope in the following equation and what does it mean? y = -2750x + 12500
-2750; There is a loss of $2750 each year.
300
What is the average miles per gallon for a car that can drive 336 miles on 14 gallons?
336/14 = 24 mpg
300
How many meters does a car travel in 1 hour if it is driving 50 km/hr?
50(1000) = 50,000 km/hr
300
Given the following information for a data set, find the boundaries for upper and lower outliers: Q1: 19 Q2: 31 Q3: 32
Lower: 19 - 1.5(13) = -.5 Upper: 32 + 1.5(13) = 51.5
400
A data set is skewed when...
The mean is pulled off (or not equal) to the median.
400
When will the car represented in the straight-line depreciation equation y = -1500x + 15000 reach a value of $7500?
After 5 years.
400
How many miles can a car drive if it gets 26 mpg and a 13 gallon tank?
26(13) = 338 miles
400
How many feet in 1 hour does a car travel if it is driving @ 55km/hr?
50(.62) = 31 mph 31(5280) = 163,680 ft/hr
400
Find the range of possible reaction distances using reaction times of .75 sec - 1.5 sec. Round each distance to the nearest tenth.
40 mph = 58.7 ft/sec 58.7(.75) = 44.0 ft 58.7(1.5) = 88.1 ft
500
The mean, median and mode are all called...
Measures of Central Tendency
500
Write the straight-line equation for a car that was purchased new for $27500 and loses $4125 each year. Then find its value after 66 months.
y = -4125x + 27500 Value after 5.5 years = $4812.50
500
How many gallons will you need to drive 340 miles in a car that averages 25 mpg? Round to the nearest tenth.
340/25 = 13.6 gallons.
500
How many meters does a car travel in 1 min if it is driving 60 mph.
60(1.61) = 96.6 km/hr... 96.6(1000) = 96,600 m/hr... 96,000/60 = 1600 m/min
500
What is the TOTAL stopping distance for a car going 70 mph if the driver's reaction time is 1 second.
Braking: 4900/20 = 245 ft Reaction: 70(5280)/3600 = 102.7 ft/sec 245 + 102.7 = 347.7 ft
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