8 Write and graph a function that converts the units, x quarts to y gallons.
A x/4
B y=4x
C y=4x
D y=x/4
well a quart is 1/4 of a gallon, so ...
To write and graph a function that converts units from quarts to gallons, we need to determine the relationship between the two units.
1 gallon is equivalent to 4 quarts.
Therefore, if we let x represent the number of quarts, and y represent the number of gallons, then the function that converts quarts to gallons can be written as:
y = x/4
This means that to convert x quarts to gallons, we divide x by 4.
Now, to graph this function, we can create a table of values and plot the points.
Let's choose a few values for x and calculate the corresponding values for y:
For x = 0, y = 0/4 = 0
For x = 4, y = 4/4 = 1
For x = 8, y = 8/4 = 2
For x = 12, y = 12/4 = 3
Now, we can plot these points on a coordinate plane. The x-axis represents the number of quarts (x) and the y-axis represents the number of gallons (y). Connect the plotted points, and you will have a straight line. This line represents the function y = x/4.
So, the correct function that converts units from quarts to gallons is:
A) y = x/4