HELP ME PLEASE, I NEED THIS BY TONIGHT
1 answer:
You might be interested in
Answer:
The equation is:
Or, what is equivalent:
Explanation:
This is the<em> table</em> that <em>shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe</em>:
Lemon juice (mL) Sugar (g)
Batch A 500 200
Batch B 750 300
Batch C 1500 600
You need to write an <em>equation to describe the relationship between j, the amount of lemon juice in mL and s, the amount of sugar in g</em>.
Calculate some ratios, to determine the kind of relation between the amount of juice and the amount of sugar in the recipe.
- Batch A: lemon juice / sugar = 500 / 200 = 5/2
- Batch B: lemon juice / sugar = 750/300 = 5/2
- Batch C: lemon juice / sugar = 1500/600 = 5/2
Hence, the amount of juice, j, and the amound of sugar, s, are proportional and the constant of proportionality is 5/2. From this, the equation is:
Or, what is equivalent (solving for j):
Using the information from the question, one can construct two equations:
... (1)
... (2)
by substituting (1) into (2) to find x
\frac{5}{4z} = \frac{1}{4}
⇒ z = 5
By substituting value of z into (1)
⇒ 4 (5) = x
⇒ x = 20
Thus the two numbers are 5 & 20
by substituting (1) into (2) to find x
\frac{5}{4z} = \frac{1}{4}
⇒ z = 5
By substituting value of z into (1)
⇒ 4 (5) = x
⇒ x = 20
Thus the two numbers are 5 & 20