The annual sales of Crimson Pharmacy are expected to be given by S = 2.4 + 0.3t million dollars t years from now, whereas the annual sales of Cambridge Pharmacy are expected to be given by S = 1.1 + 0.7t million dollars t years from now. When will Cambridge's annual sales first surpass Crimson's annual sales?

_____years from now

To find out when Cambridge's annual sales will first surpass Crimson's annual sales, we need to set their sales equations equal to each other and solve for t.

The equation for Crimson Pharmacy's annual sales is:
S(Crimson) = 2.4 + 0.3t

The equation for Cambridge Pharmacy's annual sales is:
S(Cambridge) = 1.1 + 0.7t

Setting the two equations equal to each other and solving for t:
2.4 + 0.3t = 1.1 + 0.7t

Subtracting 0.3t and 1.1 from both sides:
2.4 - 1.1 = 0.7t - 0.3t

1.3 = 0.4t

Dividing both sides by 0.4:
t = 1.3 / 0.4

Simplifying:
t = 3.25

Therefore, Cambridge's annual sales will first surpass Crimson's annual sales approximately 3.25 years from now.

To find out when Cambridge's annual sales will first surpass Crimson's annual sales, we need to set their sales equations equal to each other and solve for t.

The sales equation for Crimson Pharmacy is: S = 2.4 + 0.3t
The sales equation for Cambridge Pharmacy is: S = 1.1 + 0.7t

Setting the two equations equal to each other, we have:
2.4 + 0.3t = 1.1 + 0.7t

Now, we can solve for t.
Subtracting 0.7t from both sides, we have:
2.4 - 1.1 = 0.7t - 0.3t
1.3 = 0.4t

Dividing both sides by 0.4, we have:
t = 1.3 / 0.4
t = 3.25

Therefore, Cambridge's annual sales will first surpass Crimson's annual sales in approximately 3.25 years.

These are straight lines, they cross once.

2.4 +.3 t = 1.1 + .7 t

.4 t = 1.3

t = 13/4 = 3 1/4 years