Respuesta :

mhanifa

Answer:

  • a = 8, b = 2.25, k = 27

Step-by-step explanation:

  • y = abˣ

Points on the graph:

  • (0, 8), (1, 18), (1.5, k)

Substitute coordinates into equation and solve for and and b:

  • 8 = ab⁰ ⇒ 8 = a*1 ⇒ a = 8
  • 18 = 8b ⇒ b = 18/8 ⇒ b = 2.25

Find k:

  • k = 8*[tex]2.25^{1.5}[/tex] = 27
wegnerkolmp2741o

Answer:

a=8

b=9/4

k = 27

Step-by-step explanation:

y = ab^x

We know that a is the initial value or when x = 0

We know the point (0,8) so a = 8

y = 8 b^x

Using the point (1,18) for x and y we can find b

18 = 8 * b^1

18/8 = b

9/4 = b

Now

y = 8 * ( 9/4) ^ x

Letting x = 1.5

k = 8 *(9/4)^1.5

k = 27

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