Answer:
She can buy at most 6 bottles of orange juice.
Step-by-step explanation:
Consider the provided information.
The recipe calls for 3 times as many bottles of lemon-lime soda as orange juice,
Let she buy x bottles of orange juice.
According to question: Lemon lime soda = 3x
Orange juice costs $3.60 per bottle and lemon-lime soda costs $1.80 per bottle. She only has $54.00
Hence, she can buy at most 6 bottles of orange juice.
Check out the graph below. We see that (3,0) is a root or x intercept. More specifically, the graph only touches the x axis at this point, rather than cross over (in contrast to a root like (-2,0) ). We say that the root here is of multiplicity 2. The multiplicity is due to the exponent of 2 over the (x-3) factor.
You can also say that the graph is decreasing on the left side of (3,0) and then it bounces off the root x = 3 to increase afterward. In this region, the graph never goes below the x axis.
