Question

Jada had some dimes and quarters that had a total value of $12.50. The relationship between the number of dimes, d, and the number of quarters, q, can be expressed by the equation 01.d+0.25q= 12.5.
Question 1 - 1 pts
If Jada has 4 quarters, how many dimes does she have?

Question 2 - 1 pts
If Jada has 10 quarters, how many dimes does she have?

Question 3 - 1 pts
Is the number of dimes a function of the number of quarters? If yes, write a rule (that starts with d =...) that you can use to determine the output, d, from a given input, q. If no, explain why not.

Question 4 - 1 pts
If Jada has 25 dimes, how many quarters does she have?

Question 5 - 1 pts
If Jada has 30 dimes, how many quarters does she have?

Question 6 - 1 pts
Is the number of quarters a function of the number of dimes? If yes, write a rule (that starts with q =...) that you can use to determine the output, q, from a given input, d. If no, explain why not.

Answer 1

1 She has 115 dimes because 0.10*115=11.5 0.25*4=1.00 11.5+1.00=12.5

2 She has 100 dimes because 0.10*100=10.00 and 0.25*10= 2.5 10+2.5=12.5

3 I think they don’t function because quarters are worth more than a dime.

4 She has 40 quarters because 0.25*40=10.00 0.10*25=2.5 10.00+2.5=12.5.

5 She has 38quarters because 0.25*38=9.5 0.10*30=3 9.5+3=12.5

6 Yes they can function because q=dx-12.5