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 sea 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. Complete the equation for the relationship between the altitude and number of hours. y=

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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 sea 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. Complete the equation for the relationship between the altitude and number of hours.  y=

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Identify rate and initial altitude: Identify the rate of altitude change and the initial altitude. Noa's altitude increases at a constant rate of 740 meters per hour. The initial altitude at the Dead Sea is not given, but we know that the Dead Sea is below sea level. However, since we are only given the altitude after 1.5 hours, we can use this information to determine the initial altitude.Calculate initial altitude: Calculate the initial altitude. After 1.5 hours of driving, Noa's altitude is 710 meters above sea level. Since the rate of altitude change is 740 meters per hour, we can calculate the initial altitude by subtracting the change in altitude after 1.5 hours from the final altitude. Initial altitude = Final altitude - (Rate of altitude change * Time) Initial altitude = 710 meters - (740 meters/hour * 1.5 hours) Initial altitude = 710 meters - 1110 meters Initial altitude = -400 meters (below sea level)Write equation for altitude: Write the equation for the altitude after x hours. The altitude after x hours can be represented by the equation: y = Initial altitude + (Rate of altitude change * Time) y = -400 meters + (740 meters/hour * x hours) y = -400 + 740x

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