Write an exponential function in the form y=ab^x that goes through points (0, 18) and (2, 288)

Question

Write an exponential function in the form y=ab^x that goes through points (0, 18) and (2, 288)

in progress 0
Thu Giang 5 years 2021-08-07T00:10:00+00:00 2 Answers 20 views 0

Answers ( )

  1. Dau
    0
    2021-08-07T00:11:17+00:00
    Reply

    y = abx

    Point (1, 4): 4 = ab

    Point (3, 16): 16 = ab^3

    From 4=ab we have a = 4/b

    Substitute into 2nd equation

    16 = (4/b)b^3

    16 = 4b^2

    4 = b^2

    2 = b

    a = 4/b = 4/2 = 2

    An exponential function that fits is: y = 2(2^x)

    check: x=1; y = 2(21) = 4 … point (1, 4)

    x=3: y = 2(23) = 2(8) = 16 … point (3, 16)

  2. dangkhoa
    0
    2021-08-07T00:11:34+00:00
    Reply

    Answer:

    may i have the brainliest if you give it to me ill answer the question

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )