the equation y=-0.04×+ 12 gives the number of gallons of gad in your car, where × is the number of miles driven. Graph the equaton. Interpret the slope and y-inercept of the line
visit
http://www.wolframalpha.com/input/?i=-0.04^x%2B+12
y=-2x + 1
To graph the equation y = -0.04x + 12, you can follow these steps:
1. Choose a range for x-values to represent the number of miles driven. For example, let's say x ranges from 0 to 300 miles.
2. Substitute various x-values into the equation to find the corresponding y-values. For each x-value, calculate y using the given equation.
3. Plot the points (x, y) on a graph.
4. Connect the dots to form a straight line that passes through the plotted points.
Regarding the interpretation of the slope and y-intercept:
1. Slope: The slope of the equation is -0.04, which indicates that for every one unit increase in x (number of miles driven), the y-value (number of gallons of gas in your car) decreases by 0.04 units. In other words, as you drive more miles, the amount of gas in your car decreases.
2. Y-intercept: The y-intercept of the equation is 12, which means that when x (number of miles driven) is zero, y (number of gallons of gas) will be 12. This suggests that even if you haven't driven any miles, your car already has 12 gallons of gas.
By analyzing the slope and y-intercept, we can interpret that the line represents a linear relationship between the number of miles driven and the number of gallons of gas in your car. As you drive more miles, the gas decreases at a constant rate (slope) and starts with an initial amount of 12 gallons (y-intercept).