Which graph models the equation y = 3.5x?

Option C

Step-by-step explanation:

Given is an equation of a straight line

y =3.5x and

four graphs.

We have to find out the corresponding graph for this line.

Since slope is +3.5, we find that when x increases y also should increase.

Thus options A and B cannot be the graphs of this equaiton.

Now we are left with choices C and D

Let us prepare a table for the line

x     1    2     3     5

y   3.5   7   10.5  17.5

These points lie only in the graph C shown

Hence answer is option C

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.