Answer:
Equation: y = ⅐x
Rate of change: ⅐
Distance = 10 miles
Step-by-step explanation:
Given
The information in the above table
Solving (a): The equation
To get the equation, we need to first calculate the slope (m)
Take any two corresponding values of x and y
(x1,y1) = (7,1)
(x2,y2) = (21,3)
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(21 - 7)
m = 2/14
m = ⅐
The equation is calculated using
y - y1 = m(x - x1)
Substitute values for m, x1 and y1
y - 1 = ⅐(x - 7)
y - 1 = ⅐x - 1
Add 1 to both sides
y = ⅐x
Solving (b) Rate of change:
The calculated slope in (a) above represents the rate of change.
So:
Rate of change = Slope = ⅐
Solving (c): Distance when time is 70 minutes
This implies that x = 70
Substitute 70 for x in y = ⅐x
y = ⅐ * 70
y = 10 miles
Answer:
y = 5x - 9
Step-by-step explanation:
y - y₁ = m(x - x₁), where (x₁, y₁) = (3, 6)
y - 6 = 5(x - 3)
y = 5x - 15 + 6
y = 5x - 9
Answer and explanation:
1. It is commonly referred to as the arithmetic average: the mean measure of central tendency is also referred to as the arithmetic mean or arithmetic average or just average.
It is algebraically defined (that is, there is an equation you can use to calculate its value): the mean can be represented by the algebraic equation
a1+a2+a3...ai/n
2. There can be more than one median where there are an even number of data points and not odd number, in which the two middle number are divided by 2
It can be found when there are undetermined scores: median can be found with undetermined scores
3. It corresponds to an actual score in the data: the mode is an actual value in the data that appears more frequently than other values
There can be more than one: there can be more than one mode(bimodal,trimodal,multimodal) where 2 or more values appear the same number of times
Answer:
2.00 grams
Step-by-step explanation:
1.66 + 0.34 = 2.00
2.00 grams
