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beccaxhope
16.01.2020 •
Mathematics
The current cost of a hamburger is $4.00, but it is increasing by 9% each year. write the exponential function that model this situation. how much will the hamburger cost in two years? how much will it cost in four years and six months from now?
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Ответ:
Part a)![y=4(1.09)^x](/tpl/images/0457/3786/60e5a.png)
Part b)![\$4.75](/tpl/images/0457/3786/efb25.png)
Part c)![\$5.89](/tpl/images/0457/3786/74916.png)
Step-by-step explanation:
Part a) Write the exponential function that model this situation
we know that
In a exponential function of the form
a is the initial value or the y-intercept
b is the base of the exponential function
If b > 1 we have a exponential growth function
If b < 1 we have a exponential decay function
r is the percentage rate of change
b=(1+r)
In this problem we have
x ----> the number of years
y ----> the cost of a hamburger
substitute the values
Part b) How much will the hamburger cost in two years?
For x=2 years
substitute
Part c) How much will it cost in four years and six months from now?
Remember that
so
four years and six months is equal to 4.5 years
For x=4.5 years
substitute
Ответ:
So the smallest angle is 3*20 = 60.