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Sagot :
The formula for an exponential function is y = 45/8x + 57/8.
Here we have to find the formula for an exponential function that passes through the points.
Given data:
The two points are (-1, 3/2) and (3, 24).
We need to find the slope of the line. So,
Slope(m) = (y2 - y1) / (x2 - x1)
m = (24 - 3/2) / ( 3+ 1)
= 45/ 8
The general equation of a line:
y = mx + c
Now putting the value of x and y as -1 and 3/2 and m = 45/8.
3/2 = -1 × 45/8 + c
c = 57/8
Now we get the equation:
y = 45/8x + 57/8
Therefore the equation is y = 45/8x + 57/8.
To know more about the exponential function refer to the link given below:
https://brainly.com/question/2456547
#SPJ4
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