Question

nate and his sister myla are walking home from school.
the graph shows their distances from their house. for the
last 40 yards of the walk, nate and myla race home.

1. who reached the house first? explain.
2. describe the difference in each siblings pace.

notes:
nates rate is constant
mylas speed increased

Explanation:

For Question 6:

Look at the time axis when each sibling's line reaches 40 yards (the house). Nate's line reaches 40 yards at 8 seconds, while Myla's line reaches 40 yards at 9 seconds. The shorter time means Nate arrived first.

For Question 7:

Nate's graph is a straight line, which means his distance changes at a steady rate (constant speed) as time passes. Myla's graph is a curve that gets steeper, which means her speed increases (she covers more distance per second as time goes on).

Answer:

1. Nate reached the house first. Nate arrives at the 40-yard mark at 8 seconds, while Myla arrives at 9 seconds, so Nate has a shorter travel time.
2. Nate has a constant, steady pace (his speed doesn't change, shown by the straight line graph). Myla's pace increases over time (her speed gets faster, shown by the curved, steepening graph).