Thomas starts a canned food collection with 2 cans of food. he challenges his friends to bring 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. thomas and his friends plan to collect cans for 10 days. will mark as ! which statement describes why this sequence is a function? each day corresponds to a unique amount of cans in this sequence. the graph of the sequence would pass the horizontal line test. the graph of the sequence would pass the vertical line test. each amount of cans corresponds to a unique day in this sequence.

1010: 3030

is it i think

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places