Answer:
y = (50mi/h)*x + 100mi
Step-by-step explanation:
Here we have a linear relationship.
Remember that a linear relationship can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂, y₂) the slope is:
a = (y₂ - y₁)/(x₂ - x₁)
Then the first thing we need to do is look at two points in the graph.
We can see that the line passes through the points (0, 100) and (2, 200)
Then the slope is:
a = (200 - 100)/(2 - 0) = 100/2 = 50
Then the equation is something like:
y = 50*x + b
To find the value of b we use the fact that the line passes through the point (0,100)
This means that when x = 0, y = 100.
then:
100 = 50*0 + b
100 = b
Then the equation that represents the relationship between x and y is:
y = 50*x + 100
If we also write the units, we get:
y = (50mi/h)*x + 100mi
