Let x represent miles and y represent dollars.
That gives you coordinates (120, 70) and (50, 102.5).
First, find the slope (m) of the line using
m =
=
=
Note: slope is rate of change.
Next, use the Point-Slope formula and solve for y:
y -
= m (x -
)
y - 70 =
(x - 120)
y - 70 =
x +
y =
x +
Answer: linear function is: y =
x +
rate of change is:
initial value of the function:
Answer:
The probability that neither person is left-handed is 88.36%, that only one is left-handed is 5.64%, and that both are left-handed is 0.36%.
Step-by-step explanation:
Supposing that 6% of people are left handed and supposing two people are picked at random, to find the probability that 0, 1 or 2 people are left-handed, the following calculation must be performed:
100 - 6 = 94
0 left-handed people = 0.94 x 0.94 = 0.8836 = 88.36%
1 left-handed person = 0.94 x 0.06 = 0.0564 = 5.64%
2 left-handed people = 0.06 x 0.06 = 0.0036 = 0.36%
Therefore, the probability that neither person is left-handed is 88.36%, that only one is left-handed is 5.64%, and that both are left-handed is 0.36%.
The answer is X=4.
It is both parallel to x=-3 and passes through (4,2)
Answer:
11,000 paid $14 for reserved seats.
25,000 paid $6 for general admission.
Step-by-step explanation:
<u>First, we need to establish the system of equations:</u>
x= number of people that pay $14
y= number of people that pay $6
14*x + 6*y= $304,000
x + y= 36,000
<u>Now, we isolate x in one equation and substitute it in the other one:</u>
x= 36,000 - y
14*(36,000 - y) + 6y = 304,000
504,000 - 8y = 304,000
200,000 = 8y
25,000 = y
x= 36,000 - 25,000
x= 11,000
11,000 paid $14 for reserved seats.
25,000 paid $6 for general admission.