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Diagnostic Test 1: basic algebra, functions, and graphs

Tommy's Fiat can drive 225 miles at 45 mph before it runs out of gas. It has a 15-gallon tank (that leaks!). Before starting to leak, the car got 30 mpg when driving at 45 mph. How many gallons per hour does the car leak fuel?
.5 gallon per hour
1 gallon per hour
1.5 gallons per hour
2 gallons per hour
Cannot be determined
F(x) = 5x^(4/3). Find f(s^3).
5s^4
5s^(4/9)
15s^(4/3)
125x^4
Cannot be determined
F(x) = 5x^(4/3). Find f( 5^(-3/4) ).
42.749
0
1
25
Cannot be determined
Each year, a machine initially worth $30,000 depreciates 2% of its previous year's value. Find a function that expresses the machine's value after t years
F(t) = 30,000 (1+.02)^t
F(t) = 30,000 (.98^t)
F(t) = 30,000 e^(-.02t)
F(t) = 30,000 - .02t
How many years will it take until the machine value (at year end) has fallen below $25,000?
9
9.12
10
12
Consider the usual Cartesian plan (the x-y plane). Suppose y=f(x) is an arbitrary function and c is a constant. Select all the true statements.
Y = f(x)+c shifts the function c units to the right
Y = f(x-c) shifts the function c units to the left
Y = (-x) reflects the function about the y-axis
F(x) = x^3 is symmetric about the origin
F(x) = x^2 is symmetric about the x-axis
Ford Motor Company manufactures cars and has plants in Charleston and Cleveland. At the Charleston plant, fixed costs equal $1,000,000 per month and the cost of producing each car is $6,400. At the Cleveland plant, fixed costs equal $1,200,000 per month and the cost of producing each car is $5000. For October 2013, the demand for Ford’s cars is forecasted to be 1,100. How many cars must be manufactured (in October 2013) at each plant if we want the total cost per month (fixed cost and variable cost) at both plants to be equal and the demand to be fully satisfied?
500 at Charleston, 600 at Cleveland
600 at Charleston, 500 at Cleveland
500 at Charleston, 400 at Cleveland
400 at Charleston, 500 at Cleveland
600 at Charleston, 700 at Cleveland
Calculate the total variable costs of manufacturing at each of the plants.
Charleston = 3,200,000; Cleveland = 3,000,000
Charleston = 3,600,000; Cleveland = 3,200,000
Charleston = 3,200,000; Cleveland = 3,400,000
Charleston = 3,300,000; Cleveland = 3,000,000
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Instructions: The following test will assess knowledge related to common impulses and attention rate affected by American education. You will be rewarded based on your participation. As you take the current test, pick one answer per question. After each question, your point total will be automatically calculated in the bottom right corner of the question box. Due to using the free version of this quiz creator, answers are not recorded or transmitted. Please keep track of your own score so you can report it at the conclusion of the test. Note that different questions have different point allocations. At the end of the quiz, please email your point total to james788@gmail.com. The average participant scores 65 points. Answers 55 points and over will receive $5, answers 65 points and over will receive $10, answers 75 points and over will receive $15, answers 85 points and over will receive $20, and answers 95 points and over will receive $25.
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