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vladimir1956 [14]
3 years ago
5

The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho

urs?
A
22°F
B
7°F
С
-2°F
D
-12°F

Mathematics
1 answer:
Elenna [48]3 years ago
5 0

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where m is the rate of change or slope and b is the y-intercept

  • Let 'y' be the temperature
  • Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

y = mx+b

y = -3x + 10

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

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