Question

Find a linear and an exponential equation that matches f(2)=12 and f(4)=48

Answer 1

The exponential  equation that matches the coordinate is 3(2)^x while the linear equation is y = 6x

Exponential equation

The standard exponential equation is expressed as y= ab^x

where

a is the base

x is the exponent

Given the coordinates (2, 12) and (4, 48)

12 = ab^2

48 = ab^4

Find the ratio

4 = b^2

b = 2

Sice ab^2 = 12

4a = 12

a = 3

The exponential  equation that matches the coordinate is 3(2)^x

For the linear equation

The standard form is y = mx + b

m is the slope = 48-12/4-2
Slope = 12/2

Slope = 6

For the y-intercept

12 = 6(2) + b

b = 0

Hence the required linear equation is. y = 6x

Learn more on exponential and linear equation here: brainly.com/question/2456547

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