Answer:
y = (1/3)x + 10
Step-by-step explanation:
Let's break down the situation:
The pilot's original departure time was 4:00 pm.
Due to air traffic, her departure has been delayed by 10 minutes. So, the time of her departure is 4:00 pm + 10 minutes = 4:10 pm.
The new flight plan approved by air traffic control allows her to arrive three times faster than her original flight plan.
Let x represent the time, in minutes, of her original flight. Since she will arrive three times faster, the time it will take for her to arrive at her destination will be x divided by 3.
So, if she departs at 4:10 pm, the time it takes to arrive at her destination (let's call this y) will be:
y = x / 3
However, we need to consider that x represents the time of her original flight, not her actual departure time. Since her original departure time was at 4:00 pm, x will also represent the time elapsed from 4:00 pm until her arrival.
So, the equation for predicting the number of minutes after 4:00 pm she will arrive at her destination is:
y = x / 3 + 10
This equation represents the time taken for her flight divided by 3 (to represent arriving three times faster) plus the 10-minute delay. Therefore, the correct equation is:
y equals one third times x plus 10
y = (1/3)x + 10
