On 1 May 2021, 3,000 people were vaccinated and on 31 May 2021, 45,000 people were vaccinated. (a) Setting t = 0 on 1 May and t = 30 on 31 May, you want to find a function whose graph looks similar to the shape above and has the same values of 3,000 at t = 0 and 45,000 at t = 30. In each of (i) to (iv) below solve for the constants a and b so that the given function goes through the above points at t = 0 and t = 30. i. f(t) = at? +b ii. g(t) = aebt iii. h(t) = a +b cos a iv. j(t) : 1+ be-t/10

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 57SE: Repeat the previous exercise to find the formula forthe APY of an account that compounds daily....
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On 1 May 2021, 3,000 people were vaccinated and on 31 May 2021, 45,000 people were
vaccinated.
(a) Setting t = 0 on 1 May and t 30 on 31 May, you want to find a function whose
graph looks similar to the shape above and has the same values of 3,000 at t = 0 and
45,000 at t = 30. In each of (i) to (iv) below solve for the constants a and b so that
the given function goes through the above points at t = 0 and t = 30.
at? + b
i. f(t)
ii. g(t)
aebt
iii. h(t)
= a + b cos
40)
a
iv. j(t)
1+ be-t/10
Transcribed Image Text:On 1 May 2021, 3,000 people were vaccinated and on 31 May 2021, 45,000 people were vaccinated. (a) Setting t = 0 on 1 May and t 30 on 31 May, you want to find a function whose graph looks similar to the shape above and has the same values of 3,000 at t = 0 and 45,000 at t = 30. In each of (i) to (iv) below solve for the constants a and b so that the given function goes through the above points at t = 0 and t = 30. at? + b i. f(t) ii. g(t) aebt iii. h(t) = a + b cos 40) a iv. j(t) 1+ be-t/10
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