y-intercepts in Real-World Problems Practice

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Question
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?(1 point)
gallons

1 answer

The initial value, or y-intercept, is the value of the function when x is equal to 0. In this case, when x is 0 (meaning 0 hours since sunrise), the equation becomes:

g = 50(0) + 1,000
g = 1,000

So, the initial value is 1,000 gallons.