The number of gallons g

Question

in a swimming pool being filled with water is g=50x+1,000
, where x
is the number of hours since sunrise. It has been 10 hours since sunrise. What is the initial value?

Answer 1

To find the initial value of \( g \) in the equation \( g = 50x + 1,000 \), we need to evaluate the equation at \( x = 0 \), which represents the time of sunrise.

Substituting \( x = 0 \) into the equation:

\[ g = 50(0) + 1,000 = 1,000 \]

Thus, the initial value of \( g \) is 1,000 gallons.

Answer 2

Use the table to answer the question.

Days:
2
3
4

Fine:
30 cents
45 cents
60 cents

The table shows the fine owed for an overdue library book according to how many days it is overdue. What is the initial value?

Answer 3

In the context of the table you provided, the "initial value" typically refers to the fine owed when the number of overdue days is zero.

However, the table only lists fines for 2, 3, and 4 days overdue. To determine the initial value (the fine amount for 0 days overdue), we can assume the fine starts at a rate of 0 cents for 0 days.

Thus, the initial value is 0 cents for the fine owed when no days are overdue.