Question

John's bank account balance in dollars, b, is a function of the number of days t since the beginning of 2017. Let's call this function f. a. Which of the following are true? Select all that apply. \(f \cdot t = b\) \(f(x) = y\) \(f(b) = t\) \(f(t) = b\) b. Assume that t is also a function of b, and the name of this function is g. Use function notation to write g as a relationship between t and b. (Your answer will look similar to your answer in part a.) Preview c. Although g is a reasonable name for the function from part b., what name is more common? \(f'\) \(g^{-1}\) \(f^{-1}\) \(f^{-1}\)

          John's bank account balance in dollars, b, is a function of the number of days t since the beginning of 2017. Let's call this function f.
a. Which of the following are true? Select all that apply.
\(f \cdot t = b\)
\(f(x) = y\)
\(f(b) = t\)
\(f(t) = b\)
b. Assume that t is also a function of b, and the name of this function is g. Use function notation to write g as a relationship between t and b. (Your answer will look similar to your answer in part a.)
Preview
c. Although g is a reasonable name for the function from part b., what name is more common?
\(f'\)
\(g^{-1}\)
\(f^{-1}\)
\(f^{-1}\)
        
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John's bank account balance in dollars, b, is a function of the number of days t since the beginning of 2017. Let's call this function f.
a. Which of the following are true? Select all that apply.
f · t = b
f(x) = y
f(b) = t
f(t) = b
b. Assume that t is also a function of b, and the name of this function is g. Use function notation to write g as a relationship between t and b. (Your answer will look similar to your answer in part a.)
Preview
c. Although g is a reasonable name for the function from part b., what name is more common?
f'
g^-1
f^-1
f^-1

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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John's bank account balance in dollars, b, is a function of the number of days t since the beginning of 2017. Let's call this function f. a. Which of the following are true? Select all that apply. f*t=b f(x)=y f(b)=t f(t)=b b. Assume that t is also a function of b, and the name of this function is g Use function notation to write g as a relationship between t and b. (Your answer will look similar to your answer in part a.) Preview c. Although g is a reasonable name for the function from part b, what name is more common? f^(') g^(-1) f^(-1) f_(-1) John's bank account balance in dollars,b, is a function of the number of days t since the beginning of 2017.Let's call this function f. a.Which of the following are true? Select all that apply f.t=b Df()=y Ofb=t Of(t)=b b.Assume that t is also a function of b,and the name of this function is g Use function notation to write g as a relationship between t and b.(Your answer will look similar to your answer in part a.) Preview c.Although g is a reasonable name for the function from part b.,what name is more common? of' Og-1 Of-1 Of-1
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This data is shown in the following table. DO NOT FILL IN THE TABLE UNTIL THE QUESTION ASKS YOU TO. Number of days since June 1, t | Number of new positive cases reported 0 | 1170 1 | 1309 2 | 1448 3 | 1587 4 | 1726 a. Jacqueline was curious what the situation might look like in the future if the number of cases grew linearly with respect to the number of days elapsed since June 1. There were 1309-1170 MORE positive cases on June 2 compared to June 1. Preview Correct! The number of new cases per day increased by 1309 - 1170 = 139 from June 1 to June 2. b. If the number of new cases per day increases by the same amount each day for next several days, complete the table above predicting the number of new cases each day. [This will create a linear function.] c. Define a function f that predicts the number of new cases in Arizona reported t days since June 1 if we assume a linear model. Be sure to use proper function notation. f(t)=1309+139^t Preview Try again. Make sure you are entering the function notation correctly and using the correct variables. Also, make sure you recognize that we are assuming a linear function to model this data. d. Which of the following expressions represent the constant rate of change of the number of new cases per day with respect to the number of days since June 1? Select all that apply.

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Transcript

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00:01 So for part a, jacqueline wanted to know what the situation in the future might look like if the number of cases grew linear.
00:10 So comparing the number of cases on day 1 versus day 0, which this is june 1st and this is then june 2nd, that number of new cases would be 1309 minus 1170, and that is equal to 139.
01:00 And then for part b, if the number of new cases each day increases by the same amount for the next several days, then we can complete this table and we would use the number of new cases t days after june 1 as 1170, which is the number on june 1, plus 139 times t, because it's a linear function, and that that then gives me that 1 is 1170 plus 139 times 1, which is the 1309, which i already have in my table.
01:57 The number of new cases on day 2 is 1170 plus 139 times 2, which is 1448.
02:10 8.
02:11 The number of cases on day 3 is 1170 plus 139 times 3...
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