The equation that shows the relationship between the number of hours since Emmy went to bed is y = -2x + 9.
A linear equation is given by:
y = mx + b;
m is the rate of change, b is the initial value of y and y,x are variables.
Let x represent the number of hours since Emmy went to bed and y the temperature in °F. Since temperature has been dropping 2°F each hour, m = -2. Also b = 9°F, Hence:
y = -2x + 9
The equation that shows the relationship between the number of hours since Emmy went to bed is y = -2x + 9.
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