Byron has 72 coins in his piggy bank. The piggy bank contains only dimes
2 answers:
Answer:
(3)
Step-by-step explanation:
Let d represent number of dimes and q represent number of quarters.
We have been given that Byron has 72 coins in his piggy bank. We can represent this information in an equation as:
We are also told that the value of all coins is $14.70.
Value of d dimes: .
Value of q quarters: .
From equation (1), we will get:
Substitute this value in equation (2):
Therefore, the equation can be used to determine q, the number of quarters.
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Choice A is the answer which is the point (1,-1)
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How I got this answer:
Plug each point into the inequality. If you get a true statement after simplifying, then that point is in the solution set and therefore a solution. Otherwise, it's not a solution.
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checking choice A
plug in (x,y) = (1,-1)
This is true because -3 is equal to itself. So this is the answer.
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checking choice B
plug in (x,y) = (2,4)
This is false because 0 is not to the left of -3, nor is 0 equal to -3. We can cross this off the list.
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checking choice C
plug in (x,y) = (-2,3)
This is false because 7 is not to the left of -3, nor is 7 equal to -3. We can cross this off the list.
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checking choice D
plug in (x,y) = (3,4)
This is false because -2 is not to the left of -3, nor is -2 equal to -3. We can cross this off the list.