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?
To find the rate of change in the cost of gas as each gallon is pumped, we need to calculate the slope of the line passing through the two given points.
Let's use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
In this case, the points are (x1, y1) = (4, 15) and (x2, y2) = (8, 30).
slope = (30 - 15) / (8 - 4)
slope = 15 / 4
slope = 3.75
Therefore, the rate of change in the cost of the gas as each gallon is pumped is 3.75.
To find the rate of change in the cost of gas as each gallon is pumped, we need to calculate the slope of the line passing through the two given points on the graph.
The formula for calculating slope is:
slope = (change in y-coordinates) / (change in x-coordinates)
Given the points (4,15) and (8,30), let's calculate the rate of change step by step:
Step 1: Calculate the change in y-coordinates:
change in y = 30 - 15 = 15
Step 2: Calculate the change in x-coordinates:
change in x = 8 - 4 = 4
Step 3: Calculate the slope:
slope = change in y / change in x = 15 / 4 = 3.75
Therefore, the rate of change in the cost of gas as each gallon is pumped is 3.75.
To find the rate of change in the cost of gas as each gallon is pumped, we need to calculate the slope of the line passing through the two given points on the graph. The slope represents the rate of change.
The formula for slope (m) is:
m = (y2 - y1) / (x2 - x1)
In this case, we can take (4, 15) as our first point (x1, y1) and (8, 30) as our second point (x2, y2).
Plugging the values into the formula:
m = (30 - 15) / (8 - 4)
m = 15 / 4
The rate of change in the cost of gas as each gallon is pumped is 15/4.