Respuesta :
Given:
The amount of fertilizer is proportional to the amount of peat moss.
Each 12 lb bag of peat moss costs $4.
To find:
The equation which shows the relationship between the number of pounds of peat moss Fiona buys, p, and her cost in dollars, c.
Solution:
In is given that,
Cost of 12 lb of peat moss = $4
Cost of 1 lb of peat moss [tex]=\$\dfrac{4}{12}[/tex]
[tex]=\$\dfrac{1}{3}[/tex]
Cost of p lb of peat moss [tex]=\$\dfrac{1}{3}\times p[/tex]
[tex]=\$\dfrac{p}{3}[/tex]
The equation which shows the relationship between the number of pounds of peat moss Fiona buys, p, and her cost in dollars, c is
[tex]c=\dfrac{p}{3}[/tex]
Therefore, the equation equation is [tex]c=\dfrac{p}{3}[/tex].
Proportional graphs are used to represent graphs that have a constant rate.
The equation that shows the proportional relationship is [tex]p = 3c[/tex]
From the question, we have:
12 lb bag costs $4
Represent cost with c, and the weight of the bag with p.
So, the given parameter can be represented using the following ratio
[tex]p : c = 12 : 4[/tex]
Express as fraction
[tex]\frac pc = \frac {12 } 4[/tex]
[tex]\frac pc = 3[/tex]
Multiply both sides by c
[tex]p = 3c[/tex]
Hence, the equation that shows the relationship is [tex]p = 3c[/tex]
Read more about proportional relationships at:
https://brainly.com/question/3202565
