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 (3,16.875).

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

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

step-by-step explanation:

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