Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r = = 6
For this case we have:
x: Represents the number of carrot boxes
y: Represents the number of boxes of potatoes
Initially we have:
If you sold 68 boxes of carrot we have:
If you sold 71 boxes of potatoes, we have:
The number of boxes I take home is given by:
ANswer:
7 boxes of carrots left
There are 9 boxes of potatoes left
A total of 16 boxes remain
Answer:
see below
Step-by-step explanation:
The effect of step 1 shows up in step 2: the variable term is by itself on the left.
The difference between answer choices A and D is somewhat subtle. The goal of the solution process is to isolate the variable. Step 1 is a step on the path to doing that. What it actually does is isolate the variable <em>term</em>, as described by choice D.
___
The variable is isolated by dividing by its coefficient in Step 3.
