COAL Friday 11/6

COAL Friday 11/6

Dimensional Analysis

Multiple Choice

How many gallons are in 64 quarts?

• 16gal

• .25gal

• .75gal

• 1.5gal

Multiple Choice

Convert 21120 feet to miles

• 1

• 2

• 3

• 4

Multiple Choice

How many inches are in 1 mile?

(Hint: 5280 ft = 1 mi)

• 66,330 in

• 63,360 in

• 63,660 in

• 63,066 in

Multiple Choice

Gas costs $3.05 a gallon, and your car travels at 27 miles for each gallon of gas. How far can you travel in your car with $95 in your pocket?

• 11 miles
• 840 miles
• 7800 miles
• 870 miles

Multiple Choice

32,190 inches/year to yards/day

• 88.19 yards/day

• 7.3 yards/day

• 2.4 yards/day

• 4.9 yards/day

Multiple Choice

Convert 62 miles/hour to feet/second

• 5,456 feet/second

• .003 feet/second

• 90.9 feet/second

• 909 feet/second

Multiple Choice

How many kilograms of calcium are there in 173 pounds of calcium? (1 pound = 454 grams; 1 kg = 1000 g)

• 1.10 kg

• 78.5 kg

• 110 kg

• 78500 kg

Multiple Choice

How many years are in a 3 months?

• 0.2 yrs

• 0.75 yrs

• 0.50 yrs

• 0.25 yrs

Multiple Choice

How many minutes are in a year?

• I can't count that high.
• 525,600min
• 52,560min
• 31,536,000min

Multiple Choice

How many gallons are in a pool that holds 758,000 Liters?
(1 gallon = 3.79 Liters)

• 200
• 20,000
• 200,000
• 2,000,000

Multiple Choice

You know that 12 inches = 1 foot.  Convert 60 inches to feet.

• 720 feet
• 5 feet
• 5 inches
• 72 feet

Linear and Exponential Expressions

Multiple Choice

Evaluate 2a + 4b

if a = 10 and b = 6

• 20

• 24

• 44

• 4

Multiple Choice

Evaluate 3x - 7 if x = 12

• 36

• 29

• 28

• 13

Multiple Choice

Determine if the expression 15(1.35)^x represents exponential growth or decay and justify.

• Growth, because the scale factor is greater than 1

• Growth, because the scale factor is less than 1

• Decay, because the scale factor is greater than 1

• Decay, because the scale factor is less than 1

Multiple Choice

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. What type of function does the situation represent?

• Increasing LINEAR

• Decreasing LINEAR

• EXPONENTIAL growth

• EXPONENTIAL decay

Multiple Choice

What is the y-intercept for the function: 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

Multiple Choice

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.

• x(35 + 0.75)

• 35x + 0.75

• 0.75x + 35

• 0.75(x + 35)

Multiple Choice

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

• The additional fee of $8.

• The initial fee of $25.

• The additional fee of $25.

• The initial fee of $8.

Multiple Choice

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which expression models this situation?

• 15x + 40

• 40x + 15

• 15x

• 15x - 40

Multiple Choice

A holiday meal costs $12.50 a person plus a delivery fee of $30.

• 30 + 12.5x

• 12.5 + 30

• 12.5 + 30x

• 30 - 12.5x

Multiple Choice

Sonia has $40 in her lunch account and pays $2 each day to eat lunch.

• 40 + 2x

• 40 - 2x

• 2 + 40x

• 2 - 40x

Multiple Choice

In slope intercept form (y=mx+b) what is the "m"?

• The y-intercept

• The x-intercept

• The slope (rate of change)

• A point

Multiple Choice

In slope intercept form (y=mx+b) what is the "b"?

• The y-intercept

• The x-intercept

• The slope (rate of change)

• A point

Multiple Choice

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which expression represents this relationship?

• 15x

• 15x+80

• x+15

• 80x+15

Multiple Choice

Use the function, N = 14,000(.96)^t. Where N is the number of employees and t is the number of years.

How many employees will there be after 3 years?

• 14,000 employees

• 12,386 employees

• 40,360 employees

• 15,748 employees

Multiple Choice

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y = 8(1 + 15,000)^x

• y = 15,000(1 + .08)^x

• y = 15,000(1 − .08)^x

• y = 15,000(0.08)^x

Multiple Choice

Which the following graphs shows an exponential decay equation?

Multiple Choice

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an expression that represents this situation.

• 5000(0.7)^x

• 30(5000)^x

• 5000(1.3)^x

• 5000x^x

Multiple Choice

What type of function is y = 7(1.25)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Multiple Choice

Denise has $80 in a savings account that earns 10% annual interest.

To the nearest cent, how much will she have in 3 years?

• $106.48

• $26.48

• $8

• $104

Multiple Choice

An adult takes 800 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours?

• 101

• 102

• 103

• 104

Multiple Choice

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

• $11,625

• $6994.77

• $21,477

• $875

Multiple Choice

Does the graph in the picture above represent exponential growth, exponential decay, a linear equation, or neither of these?

• Growth

• Decay

• Linear

• None

Multiple Choice

Write an expression that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• 6(0.14)^x

• 6(1 + 14)^x

• 6(1.14)^x

• 6(0.86)^x

Multiple Choice

Identify the y-intercept (initial value) in the function:

y = 13(.27)^x

• (.27)^x

• .27

• 13

• 3.51