Write the equation of this situation: the value,v, in hundreds of dollars of Debbie's coin collection is 10 dollars more than 1/2 of the age, t (in years). Then determine the value of Debbie's coin collection of it is 8 years old. Please show all of your work.

1. V = t/2 + 10.

2. V = 8/2 + 10 = 4 + 10 = $14 Hundred.

To write the equation representing the given situation, we can use the information provided:

"The value, v, in hundreds of dollars of Debbie's coin collection is 10 dollars more than 1/2 of the age, t (in years)."

Let's break down this information into an equation:

1. The value, v in hundreds of dollars:
v = ...

2. "10 dollars more than 1/2 of the age, t (in years)":
1/2 of the age is (1/2)t. Adding 10 dollars makes it (1/2)t + 10.

Combining these two parts, we get the equation:

v = (1/2)t + 10

Now, to determine the value of Debbie's coin collection when she is 8 years old, we substitute t with 8 in the equation and solve for v.

v = (1/2)(8) + 10
v = 4 + 10
v = 14

Therefore, the value of Debbie's coin collection when she is 8 years old is $1400.

Please note that the equation we derived assumes that the value is measured in hundreds of dollars. If the actual value is not in this form, you could multiply both sides of the equation by 100 to convert the equation to dollars.