Question

Write an exponential function in the form y=ab^x that goes through points (0,7) and (5,1701).

Answer 1

Answer:

y = 7 $3^{x}$

Step-by-step explanation:

Use the given ordered pairs to find a and b

Using (0, 7 ), then

7 = a $b^{0}$ ( $b^{0}$ = 1 ), thus

a = 7

y = 7 $b^{x}$

Using (5, 1701 )

1701 = 7 $b^{5}$ ( divide both sides by 7 )

243 = $b^{5}$ ( take the fifth root of both sides )

b = $\sqrt[5]{243}$ = 3 , thus

y = 7 $3^{x}$