Respuesta :
Answer:
Relationship: y = 0.2z
Step-by-step explanation:
To graph the relationship between the number of ounces of ammonia ([tex]y[/tex]) and the number of ounces of cleaner ([tex]z[/tex]), we need to define the relationship based on the concentration of ammonia in the cleaning solution.
Given that the cleaning solution is 20% ammonia, we know that the amount of ammonia ([tex]y[/tex]) is 20% of the total amount of cleaner ([tex]z[/tex]).
Therefore, the relationship between [tex]y[/tex] and [tex]z[/tex] can be expressed as:
[tex] \Large\boxed{\boxed{y = 0.20z }}[/tex]
This equation represents that the number of ounces of ammonia ([tex]y[/tex]) is 20% of the number of ounces of cleaner ([tex]z[/tex]).
Now, to graph the relationship, we plot the points on the plane where [tex]x[/tex] represents the number of ounces of cleaner ([tex]z[/tex]), and [tex]y[/tex] represents the number of ounces of ammonia.
Let's choose two points to plot the line:
1. If [tex]z = 10[/tex] ounces of cleaner, then [tex]y = 0.20 \times 10 = 2[/tex] ounces of ammonia.
2. If [tex]z = 20[/tex] ounces of cleaner, then [tex]y = 0.20 \times 20 = 4[/tex] ounces of ammonia.
Now, we plot these points on the plane and draw a line passing through them.
Here's how the graph looks:
Point 1: ([tex]10[/tex], [tex]2[/tex])
Point 2: ([tex]20[/tex], [tex]4[/tex])
Now, we can draw a line passing through these points, representing the relationship between the number of ounces of ammonia and the number of ounces of cleaner.