Question

Solve the problems.

Answer 1

Answer:

$y=-3x+18$

Step-by-step explanation:

Let the amount of flour left be $y$.

Initial amount of flour = 18 cups

Cups used for 1 batch of muffins = 3

∴ Cups used for $x$ batches = $3\times x=3x$

Amount left in the container is given as:

$y= \textrm{Initial amount - Amount used for x batches}\\y=18-3x\\y=-3x+18$

Therefore, the equation to show how  much flour is left in the container after x batches of  muffins is $y=-3x+18$.

The graph of it is shown below.

Find the x and y intercepts and then join the line.

At x intercept, $y = 0$

$0=-3x+18\\3x=18\\x=6$

So, x intercept is $(6,0)$

At y intercept, $x = 0$,

$y=-3(0)+18\\y=18$

So, y intercept is $(0,18)$

Join these two points to plot the graph.