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High divers use the height of the diving platform to calculate the speed at which they enter the
water. The formula 58-34-12 models the diver's speed s (in miles per hour) and the height
h (in feet) of the platform.
a. Solve the formula for 3 and for h
b. At what speed does a diver enter the water when the platform is 82 feet tall?
c. A diver enters the water at 48 miles per hour. How tall is the platform?

Sagot :

a. 3h = -12 + 5s

b. Speed = 51. 6 miles per hour

c. Height = 76 feet

How to determine the value

Given the function;

5s - 3h = 12

Where;

  • s is the speed in miles per hour
  • h is the height in feet

a. To solve for 3h

We have;

- 3h = 12 - 5s

3h = -12 + 5s

b. If the height is 82 feet , then

5s - 3(82) = 12

5s - 246 = 12

collect like terms

5s = 12 + 246

5s = 258

Make 's' the subject

s = 258/ 5

s = 51. 6 miles per hour

c. If the speed is 48 miles per hour, we have;

5(48) - 3h = 12

240 - 3h = 12

collect like terms

-3h = 12 - 240

-3h = -228

Make 'h' the subject

h = -228/ -3

h = 76 feet

Thus, the speed and height are 51. 6 miles per hour and 76 feet respectively.

Learn more about speed here:

#SPJ1

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