Question
A spider is climbing up a wall. The equation
y
=
10
−
2
x
represents the distance
y
, in feet, the spider is from the top of the wall, where
x
is the number of minutes the spider has been climbing.
Which graph represents all possible solutions to the equation
y
=
10
−
2
x
for the situation?
y
=
10
−
2
x
represents the distance
y
, in feet, the spider is from the top of the wall, where
x
is the number of minutes the spider has been climbing.
Which graph represents all possible solutions to the equation
y
=
10
−
2
x
for the situation?
Answers
GPT-5 mini
The graph is the line segment of slope −2 from (0, 10) to (5, 0), with solid dots at both endpoints.
Reason: x ≥ 0 (time can't be negative) and y = 10 − 2x ≥ 0 (distance can't be negative), so 0 ≤ x ≤ 5 and 0 ≤ y ≤ 10.
Reason: x ≥ 0 (time can't be negative) and y = 10 − 2x ≥ 0 (distance can't be negative), so 0 ≤ x ≤ 5 and 0 ≤ y ≤ 10.