Answer:
y = 2x
Step-by-step explanation:
Kristen writes 2 pages of notes per hour in class. This is the rate of change. The function can be written as a linear equation y = mx where m = 2 pages per hour.
The function is y = 2x where x is hours in class and y is the number of pages.
3% of $2,700
Multiply 2,700 times 0.03.
(2,700)(0.03) = 81
$81.00 interest is earned on $2,700 a year if it is invested at 3%.
The slope is -1/4. Hope this helps! Please mark brainliest! Thank you v much! :)
Answer:
20 meters
Step-by-step explanation:
The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.
So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.
The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be 
meters from the starting point.
Answer:
80 tickets
Step-by-step explanation:
Given the profit, y, modeled by the equation, y = x^2 – 40x – 3,200, where x is the number of tickets sold, we are to find the total number of tickets, x, that need to be sold for the drama club to break even. To do that we will simply substitute y = 0 into the given the equation and calculate the value of x;
y = x^2 – 40x – 3,200,
0 = x^2 – 40x – 3,200,
x^2 – 40x – 3,200 = 0
x^2 – 80x + 40x – 3,200 = 0
x(x-80)+40(x-80) = 0
(x+40)(x-80) = 0
x = -40 and x = 80
x cannot be negative
Hence the total number of tickets, x, that need to be sold for the drama club to break even is 80 tickets
