Question

a scientist measured the temperature at sunrise and found that it was 9°c. she continued measuring each hour and saw that it rose 1°c each time. write an equation that shows the relationship between the number of hours, x, and the temperature in °c, y. y =

Explanation:

Step1: Identify initial - value

The initial temperature at sunrise is 9°C, which is the y - intercept (b) of the linear equation.

Step2: Identify rate of change

The temperature rises 1°C each hour. So the slope (m) of the linear equation is 1.

Step3: Use slope - intercept form

The slope - intercept form of a linear equation is $y = mx + b$. Substituting $m = 1$ and $b=9$ into the equation, we get $y=1x + 9$ or simply $y=x + 9$.

Answer:

$y=x + 9$