(R=restaurant)
If R1 is 480-8t-0.8t^2
and R2 is 254+0.78t, how would I write a function (R3)that represents the total sales for the the two restaurants?
To write a function (R3) that represents the total sales for the two restaurants (R1 and R2) at a given time (t), you can simply add the individual sales of R1 and R2.
Given:
R1 = 480 - 8t - 0.8t^2
R2 = 254 + 0.78t
To find R3, you add the sales of R1 and R2:
R3 = R1 + R2
Substituting the given expressions for R1 and R2:
R3 = (480 - 8t - 0.8t^2) + (254 + 0.78t)
Now, you can simplify this expression by combining like terms:
R3 = 480 + 254 - 8t + 0.78t - 0.8t^2
R3 = 734 - 7.22t - 0.8t^2
Therefore, the function R3 that represents the total sales for the two restaurants is:
R3(t) = 734 - 7.22t - 0.8t^2