question

Suppose that w and t vary inversely and that t=1/5 when w=4. Write a function that models the inverse variation, and find t when w=9.

answer

t=4/5w; 4/45

question

Suppose that y varies directly with x and inversely with z, and y=18 when x=15 and z=5. Write the equation that models the relationship. Then find y when x=21 and z=7.

answer

y=6x/z; 18

question

Graph the function y=13/6x

answer

Graph C

question

Sketch the asymptotes, and graph the function y= 5/(x-2) +3

answer

Graph C

question

This graph of a function is translation of y=4/x. what is an equation for the function?

answer

4/x+6 +2

question

Find any points of discontinuity for the rational function y=(x+6)(x+2)(x+8)/(x+9)(x+7)

answer

x=-9, x=-7

question

Describe the vertical asymptote(s) and hole(s) for the graph of y=(x+2)(x+4)/(x+4)(x+1)

answer

asymptote: x=-1 and hole: x=-4

question

Find the horizontal asymptote of the graph of y=3x^6-7x+10/8x^5+9x+10

answer

There is no horizontal asymptote

question

What is the graph of the rational function? y=-3x+5/-5x+2

answer

Graph A

question

The amount of oil used by a ship traveling at a uniform speed varies jointly with the distance and the square of the speed. The ship uses 30 barrels of oil in traveling 85 miles at 42 mi/h. How many barrels of oil are used when the ship travels 26 miles at 54 mi/h? Round your answer to the nearest tenth of a barrel, if necessary.

answer

15.2 barrels.

question

The yearbook committee is distributing yearbooks to students by class. Each class has approximately the same number of students. The table shows the number of volunteers who helped to distribute the yearbooks to each of the four classes and the time needed to distribute the yearbooks. What function models the data?

answer

nt=440

question

You want to mix a 5% blue dye with a 20% blue dye to make a 12% blue dye. The function y=100(0.05)+x(0.2)/100+x gives the concentration y of the blue dye after you add x mL of the 20% dye to 100 mL of the 5% dye. How much of the 20% dye must you add to get a dye that is 12% concentrated?

answer

87.5 mL