Chapter R Review (Calculus)

Business: compound interest. Ms. Hesse made an investment at 6.5% compounded annually. It has grown to $798.75 in 1 yr. How much was originally invested?

• $625

• $690.25

• $710.15

• $750

A function is given by f(x) = -x² + 5. Find f(-3).

• -4

• 14

• 9

• -9

A function is given by f(x) = -x² + 5. Find f(a + h).

• -a² - h² + 5

• -a² + h² + 2

• -a² + ah + h² + 5

• -a² - 2ah - h² + 5

What are the slope and y-intercept of y = 4/5x - 2/3 ?

• slope -2/3

• slope 4/5

• y-intercept -2/3

• y-intercept 4/5

Find the equation of the line with slope 1/4, containing the point (-3, 7).

• y = 1/4x - 3

• y = 1/4x + 7

• y = 1/4x + 31/4

• y = 1/4x - 3/4

Find the slope of the line containing the points (-9, 2) and (3, -4)

• -1/2

• -2

• 2

• 1/2

Find the average rate of change.

• $-450/yr

• $21/yr

• $-700/yr

• $-7/3/yr

Find the average rate of change.

• 0.5lb/bag

• -1lb/bag

• 2lb/bag

• 1lb/bag

Life science: body fluids. The weight F of fluids in a human is directly proportional to body weight W. It is known that a person who weighs 180 lb has 120 lb of fluids. Find the equation of variation expressing F as a function of W.

• 120 = k*180

• F = 2/3*W

• F = 180/120*W

• 2/3

Business: profit-and-loss analysis. A printing shop has fixed costs of $8000 for producing a newly designed note card. Thereafter, the variable cost are $0.08 per card. The revenue from each card is expected to be $0.50. Formulate a function C(x) for the total cost of producing x cards.

• C(x) = 8000

• C(x) = 0.08x + 8000

• C(x) = 0.08x

• C(x) = 0.50x + 8000