Answer:
You first identify the variable.
Answer:
y = -3x + 2
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept
So the slope is -3 as it's going down, down is negative, by 3 units and only going to the right one unit while doing so. The y-intercept is where the line is intercepting on the y-axis. So it's: y = -3x + 2
8 cubic cm equal to 8 milliliters. It does not equal 2.5 mm.
The gradient is also known as the slope and we can find it using the slope/gradient formula: (y2 - y1) / (x2 - x1)
To find the gradient/slope, we need to first choose two points on the line. You can choose any two points you like, as long as they are on the line you are trying to find the slope of.
Point 1 = (2,2)
Point 2 = (5,8)
Now, we can plug in these points to the formula and solve.
(8 - 2) / (5 - 2)
6 / 3
2
The gradient of the blue line is 2.
Hope this helps!! :)
Answer:
B. The rate at which the number of people in the park is changing 4 hours after the gates open is 92 people per hour.
Step-by-step explanation:
Rate at which people enter:
e(x)=0.03x^3 + 2
Rate at which people leave:
L(x)=0.5x + 1
Rate at which the number of people in the park is changing:
(e - L)(x) = 0.03x^3 + 2 - (0.5x + 1) = 0.03x^3 - 0.5x + 1
4 hours after the gates open, the rate is:
(e - L)(4) = 0.03(4)^3 - 0.5(4) + 1 = 0.92 hundreds of people per hour or 0.92*100 = 92 people per hour