Answers:
a.) 17t + 200
b.) 93 minutes
Explanation:
The initial volume of the pond is 200 gallons, so that is the y-intercept and included in the equation. The rate of 17 gal/min is written as 17t if t = time.
The full equations is 17t + 200.
To find when the pond will fill up you simply make 1781 equal to the equation:
1781 = 17t + 200
Then solve for t:
1781 – 200 = 17t + 200 – 200
1581 = 17t
1581 ÷ 17 = 17t ÷ 17
93 = t