Answer:
$40
Step-by-step explanation:
we know that
The linear equation in slope intercept form i equal to
where
y is the amount of her mother's donation
x is the number of miles that Melissa walks
where
m is the slope
b is the y-intercept
In this problem
The slope is
The y-intercept is
substitute
so
For x=15 miles
substitute
Answer:
Step-by-step explanation:
We are given a table and we want to determine a linear equation (in slope-intercept form) that represents this table.
So, we will first need to determine the slope. We can use the slope formula:
Where (x₁, y₁) and (x₂, y₂) are two points.
We have three points: (1, 8), (2, 16), and (3, 24).
Let’s pick two. We can use (1, 8) and (2, 16).
So, let (1, 8) be (x₁, y₁) and let (2, 16) be (x₂, y₂). Substitute appropriately:
Evaluate:
So, our slope is 8.
Now, we can determine the equation using point-slope form:
Where m is our slope and (x₁, y₁) is a point.
We know that the slope is 8, so we will substitute 8 for m.
We can use any of our three points for the point. Let’s use (1, 8) for consistency. So, let (1, 8) be (x₁, y₁). Substitute appropriately:
Solve for y. Distribute the right:
Add 8 to both sides:
And we have our equation.
Notice that this is a direct variation or proportional equation as we don’t have a y-intercept.