3. a family is tracking its spending habits. over the past year, the grocery bill has ranged from $110 to $170. suppose you were going to plot these points on a coordinate grid. (a) what is a good scale to use for the y-axis? explain your reasoning. (b) what is a good interval to use for the y-axis? explain your reasoning.

The best way to plot them is by month.

170 - 110 = $60.

We are supposed to plot in months and the above calculation is in year, convert it into months

60/5 = $5 each month

So, the coordinates would be 0, 110 1, 115 2, 120 3, 125

The month will be in the x axis and your money will be the Y axis 

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.

1.3

step-by-step explanation:

3x2=6   9x+6

bring down the 6 on both sides

6+6=12

12= 9x

divide by 9

12/9 =

1.3 =x