Abusiness sells kicking tees by mail for 3 each the shipping charge is 5 the function p=n+5 shows how the number of tees n related to the price p you will pay find the price you will pay if you buy 2 3 or 4 tees

When you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

Solution:

Information provided in the question seems to be less . so assuming following two things.

1)Given function p = n + 5 do not include shipping cost as shipping cost is also dependent on number of tees.

2)If shipping charges for 3 tees is 5 , then shipping charges of 1 tee is

When you buy 2 tees , n = 2

Price = p = n+5 = 2+5 = 7

Shipping charges =( ) x 2 =

So total price you pay for two tees = 7 + () = 7 + 3.3333 = 10.3333 unit price.

When you buy three tees , n = 3  

Price = p = n+5 = 3+5 = 8

Shipping charges =( ) x 3 = 5

So total price you pay for two tees = 8 + 5 = 13 unit price.

When you buy four tees, n = 4  

Price = p = n+5 = 4+5 = 9

Shipping charges =( ) x 4 =

So total price you pay for two tees = 9 + () = 47/3 = 15.667 unit price.

Hence when you buy 2 , 3 and 4 tees , price you pay are 10.33 unit price , 13 unit price and 15.667 unit price respectively.

a) 40 more; b) old factory:   10%, new factory:   16%; c) week 4

explanation:

a) at week 0, we see in the graph that the new factory produces 190 specialty items.  

using the function, substituting 0 in for w,

this is a difference of 230-190 = 40.

b) the function for the old factory is written in the form f(x) = a(1+r)ˣ, where a is the original amount, x is the amount of time and r is the growth rate.   the equation for the old factory is ; 230 is in place of a and is the original amount; w is the amount of time; which means 1+r = 1.1.   this means that r must be 0.1 or 10%.

for the new factory, we find the percent of increase to find the growth rate; the formula for this is

between the first two points, the amount of change is 220-190 = 30; this gives us

30/190 = 0.158 ≈ 0.16 = 16%

c) at week 0, the old factory has 230 while the new factory has 190.

at week 1, the old factory has 230(1.1) = 253 while the new factory has 220.

at week 2, the old factory has 230(1.1²) = 278.3 while the new factory has 252.

at week 3, the old factory has 230(1.1³) = 306.13 while the new factory has 290.

at week 4, the old factory has 230(1.1⁴) = 336.743 while the new factory has 337.   this is the first week that the new factory surpasses the old.