Question

# Variation Direct Variation y = kx is equivalent to the statements y varies directly as x...

Variation

Direct Variation y = kx is equivalent to the statements

y varies directly as x

y is directly proportional to x

Worksheet

1. The number of patients Dr. Wong can see varies directly as the time it takes her to see them. If she can see 11 patients in 3 hours, how long it take her to see 66 patients?

2. The speed of a vehicle varies inversely as the time it takes to travel a fixed distance. If a vehicle travels a fixed distance at 20 miles per hour in 60 minutes, how fast must it travel to cover the same distance in 25 minutes?

Q1.

Number of patients(n) is directly proportional to the time(t) it takes her to see them implies

No of patients seen by doctor in 3 hours is 11 implies

Therefore, the relation becomes

For n=66 implies

Hence, it will take 18 hours for Dr. Wong to see 66 patients

Q2.

Speed is inversely proportional to time it takes to travel a fixed distance implies

For a fixed distance s with speed v=20 mph the value of t=60 min=1 hours implies

Therefore, the relation for v becomes

For the vehicle to travel fixed distance s in 25 minutes implies calculate v for t=25/60=5/12

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