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 is the y-intercept, which is the value of g when x=0.
Plugging in x=0 into the equation g=50x+1,000, we get:
g = 50(0) + 1,000
g = 0 + 1,000
g = 1,000

Therefore, the initial value is 1,000 gallons.