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Svetllana [295]
3 years ago
12

Which equation of an exponential function has a graph that passes through the points

Mathematics
1 answer:
Karolina [17]3 years ago
8 0

Answer:

y = \frac{5}{3} (3^{x} )

Step-by-step explanation:

In general, y = k(b^{x})

Substitute x = 2, y = 15

(1)      15 = kb^{2}<u />

Substitute x = 1, y = 5

(2)      5 = kb^{1} = kb

Divide equation (1) by equation (2)

\frac{15 = kb^{2} }{5= kb }

3 = b

Now substitute b = 3 in equation (2) to find k

5 = k(3)

k = \frac{5}{3}

Since we know the values for k and b, we now have the exponential function that passes thru (1, 5) and (2, 15)

y = \frac{5}{3} (3^{x} )

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