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PSAT 1.15 Math Diagnostic 176 Views


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Description:

PSAT 1.15 Math Diagnostic. Which function represents the GDP of South Asia at time t for t equals 15?


Transcript

00:00

Thank you We sneak And here's your shmoop douceur brought

00:06

to you by the gross domestic product since it's such

00:10

a big deal to economists you'd think they could have

00:12

won first Alright gross domestic product or gdp is often

00:18

uses a measure of the health of an economy In

00:21

two thousand fifteen the gdp of the south asia region

00:24

is and economists predict that the gdp of south asia

00:28

will grow by an average of seven point three percent

00:30

annually from two thousand fifteen to two thousand thirty Which

00:34

function represents the gdp of south asia over those fifteen

00:38

years All right near the potential answer Alright when a

00:43

season who do these economists think they are No through

00:46

thomas if you're so good at predicting things economist who's

00:50

gonna win the world series next year to know seriously

00:53

we're going to vegas next weekend and we got a

00:55

condo that's burning a hole in our fight All right

00:57

so we're looking at an exponential function here We know

01:01

this because we're given a certain amount in this case

01:03

an unknown amount and that's expected to increase it a

01:07

set rate over a period of time just like are

01:10

totally solid investment in scratch off lottery tickets didn't work

01:14

out so well the formula for an exponential function is

01:17

why equals a times one plus are in parentheses Who

01:23

the x power Where is the initial amount Our is

01:27

the growth rate expressed is a decimal and x is

01:30

the number of intervals All right well in this problem

01:33

and will be r a so it's a little letters

01:37

which route They're also Since our intervals air being measured

01:40

in time namely an increase of seven point three percent

01:43

each year we can place our acts with a t

01:46

for time Our rate of growth of seven point three

01:48

percent which expressed as a testimony is point zero seven

01:52

three So why equals end times one plus point Oh

01:56

seven three in parentheses through the power of tea Of

02:01

course this problem wants the equation and fancy function form

02:04

so we'll change our y two f t and we're

02:07

left with something that looks an awful lot like option

02:10

c In fact it looks exactly like option c so

02:14

that's when we're going to go with now let's see

02:16

what we can do about making that gross domestic product

02:18

a little less gross That maybe some of makeup a 00:02:21.563 --> [endTime] haircut mani pedi you

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