Respuesta :
Answer:
[tex]A=-400 + 740t[/tex]
Step-by-step explanation:
Let the initial altitude ( in meters ) = [tex]a_0[/tex],
Since, altitude is increasing at a constant rate of 740 meters per hour.
So, the final altitude ( say A ) in meters after t hours = initial altitude + increment in altitude in t hours,
[tex]\implies A = a_0 + 740t[/tex]
According to the question,
A = 710 meters, when t = 1.5 hours,
[tex]710 = a_0 + 740(1.5)[/tex]
[tex]710 =a_0 + 1110[/tex]
[tex]\implies a_0 = 710 - 1110 = -400[/tex]
Hence, the required equation that shows the relationship between the altitude and number of hours,
[tex]A=-400 + 740t[/tex]
Answer: The equation for the relationship between the altitude and number of hours is [tex]A(t)=740t-400[/tex]
Step-by-step explanation:
Since we have given that
Speed = 740 m/hour
Number of hours = 1.5 hours
Let t be the number of hours.
A be the altitude relative to sea level.
So, According to question, it becomes,
[tex]A(t)=740t+x[/tex]
where, x is the initial height of Noa.
After 1.5 hours, altitude becomes 710 meters.
[tex]710=740(1.5)+x\\\\710=1110+x\\\\x=1110-710\\\\x=-400\ m[/tex]
Hence, the equation for the relationship between the altitude and number of hours is [tex]A(t)=740t-400[/tex]
