Question 2 Multiple Choice Worth 4 points)
(05.03 MC)
Kayson is looking at two buildings, building A and building B, at an angle of elevation of 40° Building Ais 120 feet away, and building B is 60 feet away. Which
building is taller and by approximately how many feet?

A. Building A it is around 100.69 feet taller than building B
B. Building A; it is around 50.34 feet taller than building B
C. Building B; it is around 100.69 feet taller than building A
D. Building B; it is around 50.34 feet taller than building A

for certain loans like mortgage loans, lenders scrutinize your debt to income ratio when you are applying for credit because it them evaluate your ability to repay your debts.

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.