Algebra 1 Common Core Student Edition, Grade 8-9

24. Event Planning You have a budget of $1200 to pay the musicians who will play a
    charity benefit. Two musicians have agreed to perform without charge.
    a. Write and graph an equation that gives the cost c of hiring one paid musician as
    a function of the number of musicians m who play the benefit.
    b. Suppose you use your entire budget and get 18 musicians to play the benefit.
    What is the cost of hiring each paid musician?

Describe how the graph of each function is a translation of the graph of

fix) = I

25. g(x) =x + 1

M-y =JT 3-2

26- y = \~15

29. g(x) =
    27. h[x) = x + l
    30. fix) =x+12


30. Think About a Plan In the formula/ = / is the intensity of light, in lumens,
    at a distance of x feet from a light bulb of 445 watts. At about what distance is the
    intensity 25 lumens?

• How can you use the graph of the function to determine the answer?


• How can you check the reasonableness of your answer?

32. Open-Ended Write equations of two rational functions with graphs that are
    identical except that one is shifted vertically 3 units with respect to the other.


33. a. Graph y = \ and y=.
    b. What are the vertical and horizontal asymptotes of the graph of each function?
    c. What is the range of y = |? Of y = -^?

Describe the graph of each function.

34. y = 4 x + l 35. h{x) =


35. f{x) = | 38. y = f -


36. g(x) = x2 — 4 41. fix) =

\x - 4

x + 4- 1

36. y = 0.4X


37. h(x) = Vx - 4 + 1


38. gix) = y -1 2


39. Writing Describe the similarities and differences in the graphs of y = —
    andy = T^2-

(2 2 ) 44. Physics As radio signals move away from a transmitter, they

become weaker. The function s = ]- ^ r gives the strength s of

a signal at a distance of d miles from a transmitter.

a. Graphing Calculat or Graph the function. For what

distances is s s 1?

b. Find the signal strength at 10 mi, 1 mi, and 0.1 mi.

c. Reaso ni ng Suppose you drive by the transmitter for one

radio station while your car radio is tuned to a second

station. The signal from the transmitter can interfere and

come through your radio. Use your results from part (b)

to explain why.

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