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Harper uploaded a funny video of her dog onto a website.
The relationship between the elapsed time,
d, in days, since the video was first uploaded, and the total number of views,
V(d), that the video received is modeled by the following function.

V(d)=4^(1.25 d)
How many views will the video receive after 6 days?
Round your answer, if necessary, to the nearest hundredth.

◻ views

Harper uploaded a funny video of her dog onto a website. $\newline$ The relationship between the elapsed time, $d$ , in days, since the video was first uploaded, and the total number of views, $V(d)$ , that the video received is modeled by the following function. $\newline$ $V(d)=4^{1.25 d}$ $\newline$ How many views will the video receive after $6$ days? $\newline$ Round your answer, if necessary, to the nearest hundredth. $\newline$ $\square$ views

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Circles: word problems

Full solution

Q. Harper uploaded a funny video of her dog onto a website.

\newline

The relationship between the elapsed time,

d

, in days, since the video was first uploaded, and the total number of views,

V(d)

, that the video received is modeled by the following function.

\newline

V(d)=4^{1.25 d}

\newline

How many views will the video receive after

6

days?

\newline

Round your answer, if necessary, to the nearest hundredth.

\newline

\square

views

Identify Function and Value: Identify the given function and the value to be substituted. $\newline$ We are given the function $V(d) = 4^{(1.25d)}$ , where $d$ is the number of days since the video was uploaded. We need to find the number of views after $6$ days, so we will substitute $d$ with $6$ .
Substitute Value into Function: Substitute the value of $d$ into the function. $\newline$ $V(6) = 4^{1.25 \times 6}$ $\newline$ Now we need to calculate $1.25 \times 6$ . $\newline$ $1.25 \times 6 = 7.5$ $\newline$ So, $V(6) = 4^{7.5}$
Calculate Exponential Value: Calculate the value of $4$ raised to the power of $7.5$ . Using a calculator, we find that $4^{7.5}$ is approximately $23708.64$ .
Round to Nearest Hundredth: Round the answer to the nearest hundredth, if necessary. $\newline$ The value $23708.64$ is already to the nearest hundredth, so no further rounding is needed.

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