Answer:
Kate finished the race in 52 seconds
Alexia finished the race in 58 seconds
Trina finished the race in 49 seconds
Step-by-step explanation:
From this work problem we can set up these series of equations:
First we need to create only one variable in the first equation in order to solve it, so we can substitute in the other equations into the first one. That would look like this
Then we can simplify this
Now that we solve for Kate's time, we can use the other 2 equations to find the times of Alexia and Trina
Using the equation for Alexia's time and plugging in Kate's time gives us
Using the equation for Trina's time and plugging in Kate's time give us
The slope-intercept form of a line is:
y=mx+b
m=slope=(y2-y1)/(x2-x1)
b=y-intercept (the value of y when x=zero)
Answer:
Option C. Yes; y=2x
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
so
In this problem
For x=0, y=0
That means ----> the line passes through the origin
<em>Find the value of k</em>
For x=2, y=4
---->
For x=4, y=8
---->
The values of k are equal
therefore
The table represent a direct variation
The equation is equal to