Noa drove from the Dead Sea up to Jerusalem. When she arrived in Jerusalem after 1.5 hours of driving, her altitude was 710 meters above seal level. Her altitude increased at a constant rate of 740 meters per hour.
Let y represent Noa's altitude ( in meters) relative to sea level after x hours.
y=?
its actually y=740x-400 :) ur welcome
To determine Noa's altitude relative to sea level after x hours of driving, we can use the equation for linear motion:
y = mx + c,
where y represents the altitude, x represents the time in hours, m represents the rate of change in altitude (slope), and c represents the initial altitude at x = 0 (y-intercept).
Given that Noa's altitude increased at a constant rate of 740 meters per hour and her altitude was 710 meters above sea level after 1.5 hours of driving, we can determine the values of m and c.
The slope (m) represents the rate of change in altitude per hour, so m = 740 meters per hour.
To find the initial altitude (c), we can substitute the values into the equation and solve for c:
710 = 740(1.5) + c
710 = 1110 + c
c = 710 - 1110
c = -400
Now we have the equation for Noa's altitude (y) after x hours of driving:
y = 740x - 400
To find the equation that represents Noa's altitude (y) relative to sea level after x hours, we need to consider the given information.
We know that Noa's altitude increased at a constant rate of 740 meters per hour. This means that for every hour she drove, her altitude increased by 740 meters.
We also know that when she arrived in Jerusalem after 1.5 hours of driving, her altitude was 710 meters above sea level.
To find the equation, we can start by determining the initial altitude, or the altitude at x = 0. Since Noa started from the Dead Sea, we can assume that her initial altitude was 0 meters above sea level.
Using this information, we can write the equation in slope-intercept form, which is y = mx + b. In this case, m represents the rate of change (slope) and b represents the initial altitude (y-intercept).
Since the rate of change is a constant 740 meters per hour, we can plug this value into the equation as the slope:
y = 740x + b
Now, to determine the value of b, we can use the fact that when Noa arrived in Jerusalem after 1.5 hours of driving, her altitude was 710 meters above sea level. So we substitute x = 1.5 and y = 710 into the equation:
710 = 740(1.5) + b
Simplifying this equation, we get:
710 = 1110 + b
To solve for b, we subtract 1110 from both sides:
b = 710 - 1110
b = -400
Now that we have the value of b, we can write the final equation:
y = 740x - 400
Therefore, the equation that represents Noa's altitude relative to sea level after x hours is y = 740x - 400.
You have a point (3/2, 710) and a slope (740)
So, using the point-slope form,
y-710 = 740(x - 3/2)