WRITTEN WORK

I. Multiple Choice

Choose the letter of the correct answer. Write your answer on an

intermediate paper.

1. Which is an example of a direct variation?

a. xy=10 b. y=2



c. y=5x d. 2



2. What happens to T when h is doubled in the equation T = 4h?

a. T is halved c. T is doubled

b. T is tripled d. T becomes zero

3. A car travels a distance of d km in t hours. The formula that relates d to t

is d = kt. What kind of variation is it?

a. direct b. inverse c. joint d. combined

4. Which of the following describes an inverse variation?

a. c.

b. d.

5. If s varies directly as t and inversely as v, then which of the following

equations describes the relation among the three variables s, t and v?

a. s =





b. s =





c.

1



=





d. s =





II. Answer the following items. Write your solutions on an intermediate

paper.

1. The amount of gasoline used by a car varies jointly as the distance

travelled and the square root of the speed. Suppose a car used 25 liters on

a 100 km trip at 100 kph, about how many liters will it use on 1000 km trip

at 64 kph?

2. If x varies directly as the square of y and inversely as the square root of

z, and x = 12 when q = 2 and z = 100, find x when y = 4 and z = 225.

PERFORMANCE TASK

Solve each of the following.

The distance (d) from the center of the seesaw varies inversely as the weight

(w) of a person. Jaime who weighs 60 kg. sits 4 ft. from the fulcrum.

a. Write the variation equation.

b. Solve for the constant of variation

c. How far from the fulcrum must Kyrie sit in order to balance with Jaime if

he weighs 52 kg.?​