Good Afternoon I have a couple of problems I need help one. Can someone help on this ASAP. (It would be greatly appreciated if you showed your work) Thank you have a good day

Question

asked Jun 21, 2020 120k views

1 Answer

Lanklaas · Answer 1 · 2020-06-25T23:55:03+0000

Answer:

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

Explanation:

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

$(3)/(5)=5\cdot (3)/(25)\\ \\3=5\cdot (3)/(5)\\ \\15=5\cdot 3\\ \\75=5\cdot 15$

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:

$y=a\cdot b^1\\ \\15=a\cdot b\\ \\15=3\cdot b\\ \\b=(15)/(3)\\ \\b=5$

Hence

$y=3\cdot 5^x$