an equation for a circle has formula
(x-m)² + (y-n)² = r²
where (m,n) is its center
and r is its radius
so, the equation has center (4,3) and radius 4
the equation is derived from the pythagorean theorem
Let's start by declaring our varibles.
x = number of lawns Mr. Brust mowed
y = total amount of money Mr. Brust made
Let's create our equation.
y = 15x + 55
For part b, we can plug 800 in for y.
800 = 15x + 55
Subtract 55 from both sides.
745 = 15x
Divide both sides by 15
50 = x. Note, I rounded the answer to the nearest integer.
For part c, we can plug 13 in for x.
y = 15(13) + 55
Simplify the right side of the equation.
y = 250
Part A: The y-intercept of the line of best fit is about 4. This represents the starting point, or figure 0.
Part B: Using the line, you could determine that the slope is about 3/2, or 1.5, and the 13th month would be at about 24 matches.
Equation: y=4x+1.5
Hope this helps,
LaciaMelodii :)
-46 + (-48) = -94
-42 + 46 = 4
