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Questions and Answers
Given the relationship $A = 1.20p$, what is the value of $p$ when $A = 6$?
Given the relationship $A = 1.20p$, what is the value of $p$ when $A = 6$?
- 0.2
- 7.2
- 5 (correct)
- 6
If the relationship between the number of pens ($p$) and the amount of money ($A$) is given by $A = 1.20p$, which equation correctly expresses $p$ in terms of $A$?
If the relationship between the number of pens ($p$) and the amount of money ($A$) is given by $A = 1.20p$, which equation correctly expresses $p$ in terms of $A$?
- $p = 1.20A$
- $p = \frac{1.20}{A}$
- $p = \frac{A}{1.20}$ (correct)
- $p = A - 1.20$
Sandy bought $p$ pens, and the total cost was $A$ dollars. Given that $A = 1.20p$, what does the coefficient 1.20 represent?
Sandy bought $p$ pens, and the total cost was $A$ dollars. Given that $A = 1.20p$, what does the coefficient 1.20 represent?
- The number of dollars Sandy has left.
- The total number of pens Sandy bought.
- The cost of each pen in dollars. (correct)
- The total amount Sandy spent.
Given $A = 1.20p$, if Sandy bought pens and spent $9.00, how many pens did she buy?
Given $A = 1.20p$, if Sandy bought pens and spent $9.00, how many pens did she buy?
If the equation $A = 1.20p$ represents the relationship between the total amount spent ($A$) and the number of pens bought ($p$), what is the simplified fractional representation of $k$ if $p = kA$?
If the equation $A = 1.20p$ represents the relationship between the total amount spent ($A$) and the number of pens bought ($p$), what is the simplified fractional representation of $k$ if $p = kA$?
If $A = 1.20p$, then $p = kA$. What is the value of $k$ rounded to two decimal places?
If $A = 1.20p$, then $p = kA$. What is the value of $k$ rounded to two decimal places?
Given $A = 1.20p$, if $p$ is increased by 5, how does $A$ change?
Given $A = 1.20p$, if $p$ is increased by 5, how does $A$ change?
If pens are priced such that $A = 1.20p$, and the price increases by $0.30 per pen, what is the new equation relating $A$ and $p$?
If pens are priced such that $A = 1.20p$, and the price increases by $0.30 per pen, what is the new equation relating $A$ and $p$?
Sandy initially bought $p$ pens for a total of $A$ dollars, where $A = 1.20p$. If Sandy decides to buy twice as many pens, what is the new total cost in terms of $A$?
Sandy initially bought $p$ pens for a total of $A$ dollars, where $A = 1.20p$. If Sandy decides to buy twice as many pens, what is the new total cost in terms of $A$?
If $p = kA$, and $A = 1.20p$, what would be the result of substituting the expression for $A$ into the equation for $p$?
If $p = kA$, and $A = 1.20p$, what would be the result of substituting the expression for $A$ into the equation for $p$?
Flashcards
What is the relationship between p and A?
What is the relationship between p and A?
The amount of money Sandy paid for p pens is A dollars. The relationship is defined by the equation A = 1.20p.
What does 'k' represent in p = kA?
What does 'k' represent in p = kA?
k is the constant that relates the number of pens (p) to the amount paid (A) when the equation is rearranged to p = kA.
How to find 'k' from A = 1.20p?
How to find 'k' from A = 1.20p?
To find the value of k, rearrange A = 1.20p to make p the subject: p = A / 1.20. Simplify 1 / 1.20 to get 5 / 6.
What is the value of k?
What is the value of k?
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Study Notes
Activity Context
- Sandy bought 'p' pens for 'A' dollars.
- The relationship between the number of pens and the amount paid is A = 1.20p.
Task
- Find the value of 'k' in the equation p = kA, where 'p' is the subject.
- Express the value of 'k' in its simplest form.
Solution
- Given A = 1.20p, rearrange to solve for 'p':
- Divide both sides by 1.20: p = A / 1.20
- Simplify the fraction: p = (1 / 1.20) * A
- Convert 1.20 to a fraction: 1.20 = 6/5.
- Therefore, 1 / 1.20 = 1 / (6/5) = 5/6.
- Rewrite the equation: p = (5/6)A
- Comparing p = (5/6)A with p = kA, k = 5/6
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