In order to graph the relationship, we will need to write the expression as the equation of a straight line as shown:
d = mt + b
d is the distance covered
t is the time taken
m is the speed
If you are skateboarding at a pace of 30 meters every 5 seconds. your friend is in-line skating at a pace of 9 meters every 2 seconds, this can be written as (5, 30) and (2, 9)
Get the slope of the line:
m = (9-30)/(2-5)
m = -21/-3
m = 7
Substitute m = 7 and the coordinate (2, 9) into the equation y = mt + b
9 = 7(2) + b
9 = 14 + b
b = -5
The required equation to plot will be expressed as y = 7t - 5
Plot the required graph
Learn more here: brainly.com/question/17003809
Answer:
In B) y = x/7 , the constant of proportionality is 7.
Step-by-step explanation:
Two quantities X and Y are said to be in proportion if and only if
X = kY or,
,
where k = Proportionality Constant.
Here, 7 is the constant of proportionality. Then,
A . y = 14x
here,
≠ 7
B . y = x/7
here,
= constant of proportionality .
C. y = x
here,
≠ 7
The correct answer is option B
(5 + 3i)(4+ 2i)
= 5(4+2i) + 3i(4+2i)
= 20 +10i + 12i +6i²
= 20 +22i +6(-1)
= 20 + 22i - 6
= 14 + 22i
Answer:
37.5
Step-by-step explanation:
50+160=210.
210 is a 31.25% increase from 160
Multiply 120 by 1.3125 to get 157.5
subtract 120 from 157.5 to get a 37.5km increase or a 31.25% increase :)