A mercury thermometer records a temperature of 8 degrees Fahrenheit at 10:00am.If the Temperature drops by 3 degrees Fahrenheit

Question

3 months ago

7

every hour,what will be the Temperature by 2:00pm of the same day

1 answer:

Svet_ta [12.7K] · Answer 1 · 2026-02-16T04:48:58+03:00

Given:

The temperature recorded at 10:00 am is 8 degrees Fahrenheit.

The temperature decreases by 3 degrees Fahrenheit each hour.

To find:

The temperature at 2:00 pm on the same day.

Solution:

Let y represent the temperature after x hours since 10:00 am.

The temperature at 10:00 am serves as the initial temperature.

Thus, the y-intercept of the linear equation is 8.

The temperature reduces by 3 degrees Fahrenheit every hour.

This indicates the slope of the linear equation is -3, with the negative sign indicating a decrease.

The slope-intercept form of a linear function is indicated by

$y=mx+b$

where m is the slope and b is the y-intercept.

Inserting m=-3 and y=8 into the above equation gives us the required values.

$y=-3x+8$

From 10:00 am to 2:00 pm spans 4 hours; therefore, substitute x=4 into the above equation.

$y=-3(4)+8$

$y=-12+8$

$y=-4$

Consequently, the temperature at 2:00 pm is -4 degrees Fahrenheit.