I'm not sure what you're supposed to round to, but since this is money, I would suggest including the dollar sign in front of the answers and including round to the hundredth's decimal place. Otherwise, you're answers are correct.
Your equation is:
(x + 2)² + (y - 1)² = 9
Option A is your answer.
you use. y=mx+b to get your answer o your equation
We can use the points (2, 8) and (4, 12) to solve.
Slope formula: y2-y1/x2-x1
= 12-8/4-2
= 4/2
= 2
Based on the question, we need to put the equation in slope-intercept form (y = mx + b).
Let's solve for the y-intercept. (We can use the point 2, 8 to solve).
y = 2x + b
8 = 2(2) + b
8 = 4 + b
8 - 4 = 4 + b - 4
4 = b
Now, that we know what the slope and y-intercept is we can put this into the final equation.
y = 2x + 4 (third option)
Best of Luck!
1st serving: 2/3 * 1/2 = 2/6 or 1/3
2nd serving: 1/3 * 1/2 = 1/6
3rd serving: 1/6 * 1/2 = 1/12
4th serving: 1/12 * 1/2 = 1/24
5th serving: 1/24 * 1/2 = 1/48
1/3 + 1/6 + 1/12 + 1/24 + 1/48
1/3 * 16/16 = 16/48
1/6 * 8/8 = 8/48
1/12 * 4/4 = 4/48
1/24 * 2/2 = 2/48
1/48 * 1/1 = 1/48
16/48 + 8/48 + 4/48 + 2/48 + 1/48 = 31/48
Bobby ate 31/48 of the cake in total.
