5-6 TyphoonPhi, Dang, Emma, Angelina

Choose a random box

you likeAA BB CC DD

11 A1 B1 C1 D1

22 A2 B2 C2 D2

33 A3 B3 C3 D3

44 A4 B4 C4 D4

A1

(30 points)

Suppose a pig takes 24 mins to walk to from a farm to the farmer’s house at the rate of 4ft/min. How long will it take that pig to

return to the farm at the speed of 2ft/min?

Solution to A1

time1 . speed1 = time2 . speed2

24 . 4 = time2 . 2

96 = 2x96/2 = x

48 = x

BACK

A2

(10 points)

Find the missing value:(x,55) and (5,77)

Solution to A2

x1 . y1 = x2 . x2

x1 . 55 = 77 . 5

x1 . 55 = 385

x1 = 385/55

x1 = 7

BACK

A3

BACK

TYPHOON!!!!

A4

(40 points)

Your weight on Mars varies directly with your weight on Earth. A person weighing 125 lbs on

Earth weighs 47.25 lbs on Mars, since Mars has less gravity. If you weigh 155 lbs on Earth,

how much will you weigh on Mars?

Solution to A4

e1/e2 = m1/m2

125/155 = 47.25/m2

125(m2) = 155(47.25)125(m2) = 7323.75m2 = 7323.75/125

m2 = 58.59 lbs BACK

B1

TYPHOON!!!!BACK

B2

(30 points)

A pump empties a swimming pool in 60 minutes at the rate of 1500 L/min. If the rate of

pumping is 2500 L/min, how long does it take to empty the swimming pool?

Solution to B2

time1 . speed2 = time2 . Speed2

60 . 1500 = time2 . 250090000 = time2 . 250090000/2500 = time2

36 = time2

BACK

B3

TYPHOON!!!!BACK

B4

TYPHOON!!!!BACK

C1

(10 points)

In an inverse variation, y = 3 when x = 8Write an inverse variation equation that shows

the relationship between x and y

Solution to C1

First find the constant of variation. Plug x = 8 and y = 3 into the inverse variation equation and then solve for k.

x . y = k8 . 3 = k24 = k

Solution to C1 (cont.)

Now use k = 36 to write the inverse variation equation.

y = k/x

y = 24/x This is the inverse variation

Can also be written as xy = 24BACK

C2

(10 points)

Find the missing value:(24,1.6) and (c,0.4)

Solution to C2

x1 . y1 = x2 . x2

24 . 1.6 = x2 . 0.4

38.4 = x2 . 0.438.4/0.4 = x2

96 = x2

BACK

C3

(50 points)

The time, T minutes ,taken for a stadium to empty varies directly as the number of spectators , S, and inversely as the number of open exits, E.Write down a relationship connecting T,S and E.

A. It takes 12 minutes for a stadium to empty when there are 20 000 spectators and 20 open exits.

B. How long does it take the stadium to empty when there are 36 000 spectators and 24 open exits ?

Solution to C3

A. T= k(s)/E

B. K is the constant of variation. T = 12 , S = 20,000 and E = 20

12/1 = k(20,000)/20

(20,000)K = 20 . 12K= 240/20,000 = 6/500

Solution to C3 (cont.)

T= 6(S)/500(E)

Now S = 36 000 and E = 24T = 6(36,000)/500(24)

T= 18 (min)

BACK

C4

(20 points)

On the world map, the distance between the cities of Baconburp and Hamfat is 12 inches. Each inch on the map represents 400 miles. How far away are Baconburp and Hamfat

actually?

Solution to C4

400 . 12= 4800

BACK

D1

TYPHOON!!!!BACK

D2

(40 points)

The volume V of a gas varies inversely as the pressure p on it. If the volume is 300 cm3

under a pressure of 48 kg/cm2, what is the volume under a pressure of 25 kg/cm2?

Solution to D2

Volume1 . Pressure1 = Volume2 . Pressure2

300 . 48 = Volume2 . 2514400 = Volume2 (25)14400/25 = Volume2 (25)

576 = Volume2

BACK

D3

TYPHOON!!!!BACK

D4

(10 points)

In an inverse variation, y = 2 when x = 16Write an inverse variation equation that shows

the relationship between x and y

Solution to D4

First find the constant of variation. Plug x = 16 and y = 2 into the inverse variation equation and then solve for k.

xy = k16 . 2 = k32 = k

Solution to D4 (cont.)

Now use k = 36 to write the inverse variation equation.

y = k/x

y = 32/x This is the inverse variation

Can also be written as xy = 32BACK