Question

The value, v, of the quarters Natalie has is a function of q, the number of quarters she has. The diagram below represents that function.
Finish writing an equation that can be used to find v, the value of Natalie's quarters.
input
q, the number of quarters
rule
Input Output Arrow
25q
Input Output Arrow
output
v, the value of quarters in cents


v=
Good work!
Use the diagram or equation to find the value of 8, 10, and 14 quarters. You can solve on paper or use the calculator. Then, enter your answer on Zearn.
input
q, the number of quarters
rule
Input Output Arrow
25q
Input Output Arrow
output
v, the value of quarters in cents


v=25q

q, the number
of quarters v, the value of
quarters in cents
8
10
14

Answer 1

The equation that can be used to find \( v \), the value of Natalie's quarters in cents is:

\[ v = 25q \]

where \( q \) is the number of quarters.

Now, let's calculate the value for 8, 10, and 14 quarters:

1. For \( q = 8 \):
\[
v = 25 \times 8 = 200 \text{ cents}
\]

2. For \( q = 10 \):
\[
v = 25 \times 10 = 250 \text{ cents}
\]

3. For \( q = 14 \):
\[
v = 25 \times 14 = 350 \text{ cents}
\]

So, summarizing the values:

- For 8 quarters: \( v = 200 \) cents
- For 10 quarters: \( v = 250 \) cents
- For 14 quarters: \( v = 350 \) cents