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

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

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

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won first Alright gross domestic product or gdp is often

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uses a measure of the health of an economy In

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two thousand fifteen the gdp of the south asia region

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is and economists predict that the gdp of south asia

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will grow by an average of seven point three percent

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annually from two thousand fifteen to two thousand thirty Which

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function represents the gdp of south asia over those fifteen

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years All right near the potential answer Alright when a

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season who do these economists think they are No through

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

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gonna win the world series next year to know seriously

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

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

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

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

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

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set rate over a period of time just like are

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

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out so well the formula for an exponential function is

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why equals a times one plus are in parentheses Who

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the x power Where is the initial amount Our is

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the growth rate expressed is a decimal and x is

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the number of intervals All right well in this problem

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

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

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in time namely an increase of seven point three percent

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each year we can place our acts with a t

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for time Our rate of growth of seven point three

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percent which expressed as a testimony is point zero seven

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three So why equals end times one plus point Oh

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seven three in parentheses through the power of tea Of

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course this problem wants the equation and fancy function form

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

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left with something that looks an awful lot like option

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c In fact it looks exactly like option c so

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

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what we can do about making that gross domestic product

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

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