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Question: Harper uploaded a funny video of her dog onto a website. The relationship between the elapsed time, , in days, since the video was first uploaded, and the total number of views, , that the video received is modeled by the following function. Harper uploaded a funny video of her dog onto a website. The relationship between the elapsed time, , in days, since the video was first uploaded, and the total number of views, , that the video received is modeled by the following function. V(d) = 4^1.25d How many views will the video receive after days? Round your answer, if necessary, to the nearest hundredth. How many views will the video receive after 6 days? Round your answer, if necessary, to the nearest hundredth.
To find out how many views the video will receive after 6 days, you'll have to input 6 into the function where "d" is. Here is how it's done: V(d) = 4^1.25d becomes V(6) = 4^1.25*6 This means you are raising "4" to the power of (1.25 multiplied by 6). In your case, 1.25*6 equals to 7.5. Hence, the calculation you're making is 4^7.5. Using a calculator for 4^7.5, you'll find that the video will receive approximately 17,782.79 views after 6 days.
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