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On a very cold morning, it was -7°F. As the day went on, the temperature rose 3 degrees each hour. Which equation shows the temperature over time?
A.y=-3x-7
B.y=-3x+7
C.y=3x-7
D.y=3x+7

Respuesta :

absor201

Answer:

The equation shows the temperature over time will be:

  • [tex]y = 3x - 7[/tex]

Hence, option (C) is correct.

Step-by-step explanation:

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

[tex]y=mx+b[/tex]

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 in the hour

Given that one very cold morning, it was -7°F.

Thus, the y-intercept = b = -7

Given that as the day went on, the temperature rose 3 degrees each hour.

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

Thus, substituting m = 3 and b = -7 in the equation

[tex]y = mx+b[/tex]

[tex]y = 3x + (-7)[/tex]

[tex]y = 3x - 7[/tex]

Therefore, the equation shows the temperature over time will be:

  • [tex]y = 3x - 7[/tex]

Hence, option (C) is correct.

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