Maths-
General
Easy
Question
The number of people who go to a public swimming pool can be modeled by the function g above, where c is a constant and t is the air temperature in degrees Fahrenheit ( ∘F) for 70 < t < 100. If 350 people are predicted to go to the pool when the temperature is 90∘ F, what is the value of c ?
- 20
- 40
- 60
- 80
The correct answer is: 40
HINT: Substitute the values from the question in the given equation.
Complete step by step solution:
Given equation is g(t) = 
Where, c is a constant, t is the air temperature in °F and g(t) is the number of people who go to public swimming.
We are given, g(t) = 350
t = 90°F
On substituting these values in the given equation, we get 350 = 
On small simplifications, we get the equation to be 350 = 
Add 25 on both sides.
On adding, we get the equation to be 375 = 
After Multiplying 2 on both sides we get, 750 = 
Divide both the sides by 5.
On dividing, we get 150 = 630 - 12c
Subtract 630 from both sides.
On subtraction, we get -480 = -12c
Divide both the sides by -12
On dividing, we get c = 40
Hence option B is the correct answer
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