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On a cold February morning, the temperature of the radiator fluid in Stanley’s car is Negative 18 degrees Fahrenheit. When the engine is running, the temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. Approximately how long will it take before the radiator fluid temperature reaches 60 degrees Fahrenheit? (HELPP)

Sagot :

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the temperature in Fahrenheit of the radiator after t minutes.

Stanley’s car is Negative 18 degrees Fahrenheit. Hence b = -18. The  temperature of the fluid goes up 5.4 degrees Fahrenheit per minute. hence m = 5.4. The equation becomes:

y = 5.4x - 18

For the radiator fluid temperature to reach 60 degrees Fahrenheit:

60 = 5.4x - 18

5.4x = 78

x = 14.4 minutes

It takes 14.4 minutes for the radiator fluid temperature to reach 60 degrees Fahrenheit

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