Answer: Our required linear equation would be
Step-by-step explanation:
Since we have given that
Cost of deep fried bananas on a stick = $1.00
Number of sales reached = 100 per day
Cost of deep fried bananas on a stick becomes = $2.00
Number of sales reached = 52 per day.
Let x is the number of dollars each.
Let y be the number of vendors sale.
So, we need to form the linear equation:
As we know the formula for two point slope form:
Hence, our required linear equation would be
To find the y-intercept, simply set the value of x equal to 0, and solve for y, or f(x).
f(x) = 0^2 - 3(0) - 40
f(x) = -40
<h3>The y-intercept is -40.</h3>Because this is a 2nd degree polynomial, we cannot find the x-intercepts in one step, and must instead use one of a few different methods.
In this case, we're going to use the quadratic formula:
Plug in the values.
3 +/- √(-3^2 + 160) / 2
3 +/- √169 / 2
3 +/- 13 / 2
(3 + 13) / 2 = 16 / 2 = 8
(3 - 13) = -10 / 2 = -5
<h3>The x intercepts are 8, and -5.</h3>