Respuesta :
Answer:
3 represents: For every decrease of 1°F, three more cups of hot chocolate will be sold.
Step-by-step explanation:
Consider the provided equation.
[tex]N= 456-3 T[/tex]
The relationship between the number of cups, n, of hot chocolate sold per day in a coffee shop and the average daily temperature, T, in degrees Fahrenheit.
The provided equation can be written as:
[tex]N= -3T+456[/tex]
If we observe we can find that the above model is same as the slope intercept form [tex]y=mx+c[/tex]. Where m is the slope.
Therefore, -3 represents the slope of the function.
The "minus" sign represents the slope of line is downward.
If we Substitute T=0 in provided equation we get N=456
That means when temperature is 0 degrees Fahrenheit the number of cups (N), of hot chocolate sold per day in a coffee shop is 456.
If we Substitute T=1 in provided equation we get N=453
If we Substitute T=-1 in provided equation we get N=459
Therefore, If we increase temperature the number of cups decreases.
Hence, the meaning of 3 in equation is: For every decrease of 1°F, three more cups of hot chocolate will be sold.
