S. Q.
-1 40
0 80
1 160
2 320
3 640
4 1280
Construct an equation to represent Q as a function of s.
Q(s)=_____
Q = 5 * 2^(S + 4)
@scott thank you so much!
To construct an equation to represent Q as a function of s, we need to examine the relationship between the values of S and Q given in the table.
From the table, we can observe that each time s increases by 1, Q is multiplied by 2. This indicates that Q is increasing exponentially with respect to s.
To find the equation, we need to determine the base of the exponential growth. In this case, the base is 2. The equation for exponential growth is given by:
Q(s) = a * b^s
In this equation:
- Q(s) represents the value of Q for a given value of s.
- a represents the initial value of Q when s = 0 (which is 80 in this case).
- b represents the base of the exponential growth (which is 2 in this case).
- s represents the value of the independent variable.
Substituting the known values, we can construct the equation:
Q(s) = 80 * 2^s