Question

The function h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes.

Explain what h(10) means in the context of the real-world scenario, and how to find its value.

Answer 1

t represents time, which is the input of the function, so we know that 10 is the time in minutes. h(t) represents the altitude, which is the output of the function after time, t. So, we need to substitute 10 into 210 – 15t in place of t. Simplifying 210 – 15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.

Explanation:

This is the sample 2020 edg.

Answer 2

h(t) = 210 – 15t models the altitude of a hot air balloon over time t, in minutes

means that at time t min, the height h of the balloon is 210-15t (units)

for example,

at time t=1 min, the height of the balloon is 210-15*1=195 (units)

at time t=2 min, the height of the balloon is 210-15*2=210-30=180 (units)


Thus, h(10) is the height of the balloon at time t=10 min,

h(10)=210-15*10=210-150=60