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Amanda [17]
3 years ago
13

Write the equation for an exponential function, in the form y=a x b^x, whose graph though the coordinate points (1,7.5) and (3,1

6.875).
Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0

Answer:

y = 5*(1.5)ˣ

Step-by-step explanation:

The exponential function is given in the form y = a*bˣ.

Given coordinate points are (1, 7.5) and (3, 16.875).

It means 7.5 = a*b¹ and 16.875 = a*b³

Dividing the second equation by the first equation:-

16.875 / 7.5 = a*b³ / a*b¹

b² = 2.25

b = 1.5

Now substitute the value of b into first equation:-

7.5 = a*1.5

a = 7.5/1.5

a = 5

Hence, y = 5*(1.5)ˣ

Free_Kalibri [48]3 years ago
7 0

Answer: y = 5(1.5)ˣ  is your answer

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