Answer: Linear Function: y = -10x + 15 Exponential Function:
y = 15(1/3)(to the power of x)
Explanation:
Linear Function:
First we need to find the slope by using the slope equation: (y2 - y1)/(x2 - x1)
In which, it should be (5 - 15)/(1 - 0)
So, we know that the slope is -10, and we already know that the y-intercept is 15, so, we are going to plug it in to the slope-intercept formula, which is
y = mx + b,
In which, it would become y = -10x + 15
Exponential Function =
The exponential function is y = ab(to the power of x)
Let's list out the points onto the equation, 15 = ab(0) and 5 = ab(1)
Know let's solve for each variable.
1. 15 = ab(0)
2. 15/b(0) = a
3. 15 = a
Know we know that a is 15, we can solve for b.
1. 5 = (15)b(1)
2. 5/15 = b(1)
3. 1/3 = b
Know we know that b is equal to 1/3, let's plug it into the equation.
y = 15(1/3)(to the power of x)