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1. An electric utility company determines the monthly bill by charging 79.1 cents per kilowatt-hour (KWh) used plus a base of $19.45 per month. Thus, the monthly charge is given by the function f(W)=0.791+19.45 dollars, where W is he number of killowatt-hours.

a. Find f(5000) and explain what it means.

b. What is the monthly charge if 2500 kwh are ussed?

a. Select the correct choice below and fill in the answer box. (Simplify your answers. Type integers or decimals)

A. f(5000)=______. The charge for 5000 kWh is $_______.

B f(5000)=______. The charge for _______kWh is $5000.

b. The monthly charge is $______if 2500 kWh are used. (Simplify your answers. Type integers or decimals)

2) The function P=3.66t+4.78 gives the percent of households with internet access as a functionof t, the number of years after 1994.

a. What are the values of t that correspond to the years 1998 and 2000?

b. P=f(3) gives the value of P for what year? What is f(3)?

c. What xmin and xmax should be used to set the viewing window of a graph of P(t) so that t represent 1994-2005?

_________________________________________________________________________

a. What value of t corresponds to the year 1998?

t=_____

What value of t corresponds to the year 2000?

t=______

b. P=f(3) gives the value of P for what year?

______

What is f(3)?

f(3)=_____%

c. What xmin should be used for the viewing window?

Xmin=______

What Xmax should be used for the viewing window?

Xmax=______

3) The average classroom teacher's salary is given by f(x)=975.02x + 32,904.94, where x is the number of years from 1990.

a. What inputs correspond to the years 1990-2005?

90 through 105 or 0 through 15 or 0 through 10

b. What outputs correspond to the inputs determined fr 1990-2005?

The output that corresponds to the input determined for 1990 is _____

The output that corresponds to the input determined for 2005 is _______

Use the fact that the function increases to find an appropriate viewing window and graph this function.

4) For the function y=2x-7, answers parts a. through c.

A. The y-intercept is____

B. there is no y intercept

b. Determine is the graph is rising or falling. (show graph)

Is the graph rising or falling toward the right?

c. graph the function on a window with the given x-range [-5,5] and a y-range that show a complete graph.

5) For the function y=300-24x, find the rate of change

The rate of change is______

6) If a linear function has the points (3,6) and (-2,-8) on its graph, what is the rate of change of the function?

Select the correct choice below and, if necessary, fill in the answer choice.

a. the rate of change is______

b. There is no solution

7) the life expectancy of american women t years after 1960 is given by A(t)=0.2t+73. Complete parts a through c below.

A. The A-intercept is _______which means the life expectancy of American women was____years in the year____

B. The A-intercept is_______which means the life expectancy of American women was 0 years in the year_____

b) What is the slope of the graph of this function?_______(simplify answer)

c) Interpret the slope as a rate of change.

The rate of change of this function is _____ ____________________(simplify answer)

8) A company charting its profits notices that the relationship between the number of units sold x and the profit P is linear. If 200 units sold results in $3651 profit and 275 units sold results in &7026 profit, find the marginal profit, which is the rate of change of the profit.

The marginal profit is _____ ________________.

9)Use the given conditions to write equation for the line.

Passing through (6,-6) and perpenicular to the line whose equation is x-4y-5=0

The equation of the line is______________________

10)Write the equation of the line whose graph is given (parallel line (-6,6) passing through 1.

11)For the function (-2,5) to (1,4) find the average rate of change (-2,5) to (1, 4). (cant send graph)

12)For the given function, find f(x+h)-f(x)/h

f(x)=3x^2 + 8

f(x+h)-f(x)/h = _______ (simplify answer)

13)A business uses straight-line depreciation to determine the value y of a machinery over a 10-year period. Suppose the original value (when t=0) is equal to $43,000 and its value is reduced by $4,300 each year. Write the linear equation that models the value y of this machinery at the end of year t.

The linear equation __________________models the value y of the machinery at the end of year t. (just equation do not factor).