Answer:
y = 0.2x + 37
Step-by-step explanation:
A) Find an equation in the form y = mx + b, where x is the number of monthly minutes used and y is the total monthly of the Ringular plan.
(x, y) = (minutes, cost)
(110, 59)
(600, 157)
slope = m = dy/dx
dy/dx = change in y/change in x
m = dy/dx
m = (157 - 59)/(600-110)
m = 98/490
m = 0.2
a) the linear equation:
y - 59 = 0.2(x - 110)
y - 59 = 0.2x - 22
y = 0.2x - 22 + 59
y = 0.2x + 37
Answer: D, neither A nor B
Step-by-step explanation: In a function, the x (the input) cannot repeat in the given set of ordered pairs. In Set A, 2 repeats in the third and fourth ordered pairs. In Set B, 9 repeats in the third and fourth ordered pairs as well.
Answer: 300
Step-by-step explanation:
Let the number be represented by x.
Therefore, based on the information given in the question, this can be expressed as:
36% of x = 108
36/100 × x = 108
0.36 × x = 108
0.36x = 108
x = 108/0.36
x = 300
Therefore, the number is 300
Answer:
Step-by-step explanation:
Let's calculate the volume of the tank per each meter in height.
The volume of a cylinder is πr²h, where h is the height.
A height of 1 meter in a tank with a radius of 5 meters would hold a volume of:
Vol = (3.14)*(5 meters)^2 *(1 meter)
Vol (m^3) = 78.54 m^3 per 1 meter height.
If the tank were filled at a rate of 3 m^3/min, it would rise at at a rate of:
(78.54 m^3/meter)/(3 m^3/min) = 0.0382 meters/minute [38.2 cm/min