Answer:
40 more specialty items were produced at the old factory than at the new factory. p(w)=230(1.1)^w. w=0. Old factory=230. New factory=190. 230-190=40.
B.
f(x)=a(1+r) ^x. a= initial value. r=percent growth rate.
p(w)=230(1.1)^w=growth rate for the old factory. 1+r=1.1. r=0.1.
220=190(1+r) ^1= growth rate for the new factory. 1+r=220/190. 1+r=1.15. r=0.15.
Therefore, while the new factory’s growth rate is 0.15=15%, the old factory’s growth rate is 0.1=10%. Thus, the production of the new factory is growing faster.
C. The week the new factory started producing more specialty items than the old factory is on the 4th week.
Week 1 2 3 4 5 6 7
Old Factory 253 278.3 306.13 336.743 370.417 407.459 448.205
New Factory 220 252 290 337 380 440 505
Difference -33 -26.3 -16.13 0.257 9.583 32.541 56.795
Step-by-step explanation: