y = 2.5 ·4^x as the equation for the blue line shown in the graph, rather than the equation given in your text. Note that your line will now be tangent to the graph at the point ( 0, 2.5 ).
Enter the value of c here
To find the value of c in the equation y = 2.5 · 4^x, we can substitute the x and y coordinates of the given point (0, 2.5) into the equation.
Substituting x = 0 and y = 2.5, we get:
2.5 = 2.5 · 4^0
Since any number raised to the power of 0 is equal to 1, we have:
2.5 = 2.5 · 1
Simplifying further:
2.5 = 2.5
Therefore, the value of c is 2.5.
In the equation y = 2.5 · 4^x, there is no constant term such as "c". The equation represents an exponential growth function where the initial value (when x = 0) is 2.5, and the base of the exponential is 4.
Since there is no "c" in this equation, the value of "c" would be zero.