Mathematics
The height of water in a cylindrical tank is 3 m at the start of summer. The height h m at the end of t months is given by the linear function h(t) = 3 – 0.5t. What will be the height of the water at the end of 5 months?
Answer
The height of water in the tank is given by the linear function:
h(t) = 3 − 0.5t
where h is the height of water (in m) and t is the time elapsed (in months).
Height of water at the end of 5 months:
Substituting t = 5 in h(t) = 3 − 0.5t:
h(5) = 3 − 0.5 x 5
⇒ h(5) = 3 − 2.5
⇒ h(5) = 0.5
Hence, the height of the water at the end of 5 months will be 0.5 m.
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