Answer:
[tex]y=-3x+18[/tex]
Step-by-step explanation:
Let the amount of flour left be [tex]y[/tex].
Initial amount of flour = 18 cups
Cups used for 1 batch of muffins = 3
∴ Cups used for [tex]x[/tex] batches = [tex]3\times x=3x[/tex]
Amount left in the container is given as:
[tex]y= \textrm{Initial amount - Amount used for x batches}\\y=18-3x\\y=-3x+18[/tex]
Therefore, the equation to show how much flour is left in the container after x batches of muffins is [tex]y=-3x+18[/tex].
The graph of it is shown below.
Find the x and y intercepts and then join the line.
At x intercept, [tex]y = 0[/tex]
[tex]0=-3x+18\\3x=18\\x=6[/tex]
So, x intercept is [tex](6,0)[/tex]
At y intercept, [tex]x = 0[/tex],
[tex]y=-3(0)+18\\y=18[/tex]
So, y intercept is [tex](0,18)[/tex]
Join these two points to plot the graph.
