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The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered. a. What is the constant rate of change? What does it represent? b. What is the initial value? What might that represent? The constant rate of change is (Type a whole number.) Cost in Dollars (y) 500 400 300 200 Ay 100 X 10 20 30 40 50 Cubic Yards (x)​

The graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered a What is

Answer :

The equation for the graph is y = 20x + 50, where the rate of change is 20 and the initial value is 50.

What is a linear equation?

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

There are both one-variable and two-variable linear equations.

Given graph shows the relationship between the number of cubic yards of mulch ordered and the total cost of the mulch delivered,

x-axis shows the cubic yards and y-axis shows cost,

A. to find the constant rate of change,

from graph, we find that x₁ = 0 and x₂ = 5

y₁ = 50 and y₂ = 150

constant rate of change = (y₂ - y₁)/(x₂ - x₁)

rate of change = (150 - 50)/(5 - 0)

rate of change = 100/5 = 20

the constant rate represents the slope of the line,

for equation of line y = mx + c

here m = slope of the line or constant rate of change.

2. to find the initial value,

the initial value represents the y-intercept or the value of constant for equation y = mx + c,

where c is the initial value

we have m = 20 x = 0 and y = 50

50 = 20(0) + c

c = 50

the equation for the graph is y = 20x + 50

Hence the rate of change is 20 and the initial value is 50.

Learn more about linear equations;

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