A graph of the cost of gas purchased depending on the number of gallons pumped has the points (4,15) and (8,30) . What is the rate of change in the cost of the gas as each gallon is pumped?(1 point)y2-y1/x2-x1
Using the formula for rate of change, we have:
Rate of change = (y2 - y1)/(x2 - x1)
Substituting the given coordinates, we have:
Rate of change = (30 - 15)/(8 - 4)
Simplifying, we get:
Rate of change = 15/4
Therefore, the rate of change in the cost of gas as each gallon is pumped is 15/4.
you sure
Apologies for the mistake. Let's reevaluate the problem correctly.
The rate of change in the cost of gas as each gallon is pumped can be determined using the formula:
Rate of change = (change in y)/(change in x)
Given the points (4,15) and (8,30), the change in y (cost of gas) is 30 - 15 = 15, and the change in x (number of gallons) is 8 - 4 = 4.
Plugging these values into the formula, we get:
Rate of change = 15/4
Therefore, the rate of change in the cost of gas as each gallon is pumped is 15/4.
To find the rate of change in the cost of gas as each gallon is pumped, you can use the formula for calculating the slope of a straight line. The formula you mentioned, (y2 - y1) / (x2 - x1), is correct for finding the slope.
In this case, the coordinates of the two points are (4,15) and (8,30), where (4,15) represents the number of gallons pumped and the cost of gas purchased, and (8,30) represents another point with the same information. Let's assign the values as follows:
x1 = 4 (the initial number of gallons pumped)
y1 = 15 (the cost of gas when 4 gallons are pumped)
x2 = 8 (the final number of gallons pumped)
y2 = 30 (the cost of gas when 8 gallons are pumped)
Now, substitute these values into the formula:
Rate of change = (y2 - y1) / (x2 - x1)
= (30 - 15) / (8 - 4)
= 15 / 4
Therefore, the rate of change in the cost of gas as each gallon is pumped is 15/4.