Question

A mathematical model estimates sales (in thousands of dollars) as a function of time t (in years) as S(t) = 5t/t+1 , where t is the number of years that have passed since startup. What is the correct graph for sales as a function of t?

Answer 1

well i dont see any of these as right, first off you can just put in values of t (which your graphs are y vs x, neither of the variables. but also, when t = 0, estimated sales is 5(in thousands)

Answer 2

E is the only one that intercepts not at 0

Answer 3

wait that is my mistake, it should be at 0

Answer 4

anyway, make a list of t = 0, 1, 2, 3,... so on. then you plot those values against the given graphs to find the right one

Answer 5

so its e?

Answer 6

S(t) = 5t/(t+1)
at t = 0 S = 0
at t = 1 S = 5/2
at t = 2 S = 10/3
at t = 3 S = 15/4

no it is not e

Answer 7

these are your t values (on the x axis) and your S values (on the y axis)
when you compare these to the graphs given you can figure out what graph it is

Answer 8

b?

Answer 9

so automatically, looking at t = 0, it cant be e because at t = 0 s = 0 and that isnt e.

Answer 10

now look at t = 1, S = 2.5

Answer 11

you can eliminate b and d, because looking at those, when t = 1, those y values are not 2.5, but a and c are.

Answer 12

so after looking at the first 2 values for t, it isnt b,d, or e.
look at t = 2, S = 3.333
does either graph, a or c, have a y value of 3.33 at x = 2

Answer 13

A

Answer 14

yes :)

Answer 15

Thanks:)