The number of gallons g 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?
The initial value refers to the value of g when x = 0.
Plugging x = 0 into the given equation, we get:
g = 50(0) + 1,000
g = 0 + 1,000
g = 1,000
Therefore, the initial value is 1,000 gallons.
The table shows the fine owed for an overdue library book according to how many days it is overdue. What is the initial value?
(1 point)
Days Fine
2. 30
3. 45
4. 60
The initial value refers to the value of the fine when the number of days overdue is 0.
Based on the given table, we have:
When 2 days overdue, the fine is 30.
When 3 days overdue, the fine is 45.
When 4 days overdue, the fine is 60.
To find the initial value, we need to determine the fine when 0 days overdue.
Since there is no information given for 0 days overdue, we cannot determine the initial value from the table alone.
Days Fine
2
30 cents
3
45 cents
4
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?
Based on the given table, when the number of days overdue is 2, the fine is 30 cents.
Since the initial value refers to the value when the number of days overdue is 0, we don't have that specific information in the table.
Without the specific information for 0 days overdue, we cannot determine the initial value from the given table alone.
Years Amount
1
2
3
$1,080
$1, 160
$1,240
The table shows the amount of money in a bank account after a certain number of years. What is the initial value?
The initial value refers to the value of the amount in the bank account when the number of years is 0.
Based on the given table, we can see that when 1 year has passed, the amount is $1,080.
Since we want to find the value when 0 years have passed, we can determine the initial value by looking at the difference between the amounts after different years.
The difference between $1,080 and $1,160 is $80, and the difference between $1,160 and $1,240 is also $80. This means that for each year that passes, the amount increases by $80.
Therefore, the initial value can be found by subtracting $80 from $1,080:
Initial Value = $1,080 - $80 = $1,000
Therefore, the initial value in the bank account is $1,000.
The current temperature in degrees Celsius, where x equals the number of hours after noon, is 2x + 10. Interpreting this equation, what is the initial value?
The initial value refers to the value of the temperature when x = 0.
In the given equation, when x = 0, the temperature is:
2(0) + 10 = 0 + 10 = 10 degrees Celsius.
Therefore, the initial value is 10 degrees Celsius.