Question

R(t)=30t+525/165t+7000 where t is the nuimber of years since 1960....will t be=to 53?

Answer 1

what is your question exactly? you want to know R(t) when t = 53?

Answer 2

Use the following scenario to answer question 4 and 5. (HINT: a ratio can be written as a percentage)

According to the Federal Buerau of Investigations the ratio of violent crimes to the total crimes committed in the U.S. is given by the following function: R(t)=30t+525/165t+7000 where t is the number of years since 1960...State the meaning of the horizontal asymptote as it relates to the stated scenario.

Answer 3

a word problem... so i thought t=53 if the question addresses this year (2013) but I am not good with word problems, so i think the horizontal asymptote is 30/165...just dont know what is next

Answer 4

ok so this is one big fraction I'm assuming

Answer 5

if so, then as t gets larger and larger, then R(t) will slowly start to approach 30/165 = 2/11

Answer 6

Basically this means that as time progresses into the future (much further into the future), the ratio of violent crimes will level out at 2/11

Answer 7

I'm not sure why you are using t = 53 though

Answer 8

i just thought 53 will be number of years since 1960- but i was not sure if this is what i had to solve

Answer 9

oh no, you just think very far into the future (say 1000 years) and basically the ratio will approach or be close enough to 2/11

and this is the horizontal asymptote

Answer 10

thank you so much! will the vertical intercept be 7000?

Answer 11

no you plug in t = 0 and then evaluate

Answer 12

ok ~ :)

Answer 13

tell me what you get

Answer 14

0.7745

Answer 15

also got 0.181818

Answer 16

you should have gotten 525/7000 = 3/40 = 0.075

check your work again

Answer 17

.075 you are right

Answer 18

thank you for all your help!

Answer 19

sure thing, I'm glad I was helpful