An initial value is the y-coordinate of the point where the line crosses the y-axis.
A
25, see solution.
B
50, see solution.
Practice makes perfect
We are given the following graph.
The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. We want to find the constant rate of change. Let's start by marking two
lattice points on the graph of the line! Recall that a lattice point is a point that lies perfectly on the grid lines.
Now we can use these points to calculate the constant rate of change. We will start by recalling the Slope Formula.
m = y_2- y_1/x_2- x_1
In this formula, ( x_1, y_1) and ( x_2, y_2) are two points on the line and m is the constant rate of change. In our case, ( x_1, y_1)= ( 0, 50) and ( x_2, y_2)= ( 10, 300). Let's substitute these values into the formula and find the value of m.
In our function, a constant rate of change of 25 represents the increase of the cost for each cubic yard of mulch.
We are given the following graph.
The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. We want to find the initial value.
Recall that an initial value is the y-coordinate of the point where the line crosses the y-axis. Let's mark this point on the graph!
Note that this point is the lattice point, so we already know its coordinates. Recall that a lattice point is a point that lies perfectly on the grid lines. Therefore, the initial value is equal to 50. The initial value of 50 might represent the cost of the delivery that does not depend on the amount of mulch.
