Answer:
$119
Step-by-step explanation:
Let
x -----> the number of skaters
y -----> the cost for birthday parties
we have the points
(10,107) and (15,137)
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in point slope form

we have

substitute

step 3
Convert to slope intercept form



step 4
How much would a party for 12 skaters cost?
For x=12 skaters
substitute the value of x in the equation and solve for y


Because two angles are equal, sides AB and AC will have equal lengths, and so, we can set each expression equal to each-other.
4x + 4 = 6x - 14
Subtract 4x from both sides.
4 = 2x - 14
Add 14 to both sides.
18 = 2x
Divide both sides by 2.
x = 9.
Because we have a constant value of x, we can solve for BC.
BC = 2x + 7
2(9) + 7
18 + 7
25
<h3>The value of BC is 25.</h3>
Hey there!
Let us take Michael's score as ' x '
Let us take Kathryn's score as ' y '
Michael - 70 less than twice Kathryn's
x = 2y - 70
y = y
Add them, we get , 425
2y - 70 + y = 425
3y - 70 = 425
3y = 495
y = 495/3
y = 165
Kathryn's score = 165
Michael - 2 ( 165 ) - 70
= 260
Hope it helps!