Question

Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F. please say the equation.

Answer 1

Answer:

0.25 hours

Step-by-step explanation:

The equation for a linear function is given by:

y = mx + b,

where y and x are variables, m is the rate of change of y with respect to x and b is the initial value of y (value of y when x = 0).

Let x represent the number of hours after 1:00 P.M and let y represent the temperature in degree Fahrenheit.

Let us assume that initial the temperature is 0°F. The temperature changes -4 degrees Fahrenheit per hour. From the equation of a linear function y = mx + b:

m = -4 degrees Fahrenheit per hour, b = 0. Hence:

y = -4x

The time taken to reach -1°F is gotten by substituting y = -1 and finding x:

y = -4x

substituting:

-1 = -4x

x = -1 / -4

x = 0.25 hours

0.25 hours = 0.25 hours * 60 minute / 1 hour = 15 minute

Therefore at 1:15 P.M, the temperature is -1°F