Answer:
Step-by-step explanation:
Let X is the number of cards Kenny has
Let Y is the number of cards Lee has
1. Kenny had 5/7 more trading cards than lee, it means
X = Y + 5/7X (1)
2. After Kenny collected 50% more trading cards, he had 220 more trading cards than lee, it means:
X + 50%X = Y + 220 (2)
So, we solve the 2 equations to find out X and Y
<=> X = and Y =
<=> X ≈181 and Y ≈ 52
For 4 copies, the total cost for preparing and printing will be the same.
Step-by-step explanation:
Let,
p be the number of pages
Company A;
Charges of preparing = $6
Charges of per page print = $2.50
A(p)= 2.50p + 6 Eqn 1
Company B;
Charges of preparing = $4
Charges of per page print = $3
B(p)= 3p + 4 Eqn 2
For equaling the cost;
A(p) = B(p)
Dividing both sides by -0.50
For 4 copies, the total cost for preparing and printing will be the same.
Keywords: Addition, division
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Answer:
The correct option is;
No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks
Step-by-step explanation:
The parameters given are;
Plant A:
Weeks, Height
0, 3
1, 4.8
2, 6.6
3, 8.4
The rate of change of height, H per week, t, for plant A per week is therefore;
Therefore we have;
H = 1.8 × t + 3
At week 6,
H = 3 + 6×1.8 = 13.8 inches
Plant B
Weeks, Height
2, 7.3
3, 8.7
4, 10.1
The rate of change of height, H per week, t, for plant B per week is given as follows;
Therefore we have;
When t = 2, H = 7.3 hence, 7.3 = 2 × 1.4 + H₀
Where:
H₀ = H at t = 0
H₀ = 7.3 - 2 × 1.4 = 4.5
At week 6 we have;
H = 4.5 + 6×1.4 = 12.9 inches
Which indicates that Plant A will be 0.9 inches taller than Plant B at week 6.
The correct option is therefore;
No, The greater rate of change of Plant A will result in it being 0.9 inches taller in 6 weeks.