Two teams?
2x - 5
2x + 5
2x - 19
2x + 19
3. which expression is equivalent to
-3
4(32 + 24e - 4f )? select all that
apply.
24 + 18e - 3f
-18e + 3f - 24
-24 - 18e + 3f
8 - 6e - f
4. simplify the expression 2(x - 6) + 2(8).
2x + 4
2x + 2
x + 4
x + 2
5. the manager of a store marks up all
items by 10%. if x is the original price,
which expression represents the new
price with the markup? select all that
apply.
0.9x
x
1.1x
x + 0.1x
x - 0.1x
6. there are 10x - 8 customers in a store
on monday and 6x + 16 customers on
tuesday. what is the total number of
customers for the two days?
4x + 24
4x + 8
16x + 24
16x + 8

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.

the answer to this would be 5x^3-6x^2-24 over 3x^2

hope this if needed hmu