Mathematics: Good afternoon i have a couple of problems i need one. can someone on this asap. (it would be greatly appreciated if you showed your work) you have a good day

3289 rounds to 3000. So take 7 x 3000 = 21000...

Good afternoon i have a couple of problems i

brianogle4069

17.01.2022

C. $y=3\cdot 5^x$

Step-by-step explanation:

First two options show linear function and last two options show exponentioal functions. From the table you can see that

$\dfrac{3}{5}=5\cdot \dfrac{3}{25}\\ \\3=5\cdot \dfrac{3}{5}\\ \\15=5\cdot 3\\ \\75=5\cdot 15$

This gives you that the function is exponential. Let the expression for the function be y=ab^x. Substitute two values:

at x=0:

$y=a\cdot b^0\\ \\3=a\cdot b^0\\ \\3=a\cdot 1\\ \\a=3$

at x=1:

$y=a\cdot b^1\\ \\15=a\cdot b\\ \\15=3\cdot b\\ \\b=\dfrac{15}{3}\\ \\b=5$

Hence

$y=3\cdot 5^x$

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