Question
A coordinate plane of quadrant 1 shows x axis labeled as time in seconds, t, ranging from 0 to 4 in 1 unit increments. The y axis is labeled as distance in feet, d, ranging from 0 to 500 in increments of 100.
The two plotted points are left parenthesis 0 comma 0 right parenthesis and left parenthesis 2.5 comma 385 right parenthesis. The points are labeled. A leader line extends from the origin point label to the point.
The graph represents the distance a major-league outfielder throws a baseball. He can throw a baseball as fast as 105 miles per hour, or 154 feet per second. Which equation represents this scenario?
(1 point)
Responses
154⋅90=13,860
154 times 90 equals 13,860
154⋅2.5=385
154 times 2.5 equals 385
105⋅2.5=262.5
105 times 2.5 equals 262.5
105⋅90=9,450
105 times 90 equals 9,450
The two plotted points are left parenthesis 0 comma 0 right parenthesis and left parenthesis 2.5 comma 385 right parenthesis. The points are labeled. A leader line extends from the origin point label to the point.
The graph represents the distance a major-league outfielder throws a baseball. He can throw a baseball as fast as 105 miles per hour, or 154 feet per second. Which equation represents this scenario?
(1 point)
Responses
154⋅90=13,860
154 times 90 equals 13,860
154⋅2.5=385
154 times 2.5 equals 385
105⋅2.5=262.5
105 times 2.5 equals 262.5
105⋅90=9,450
105 times 90 equals 9,450
Answers
GPT-4o mini
To determine the equation that best represents the scenario of the distance the outfielder throws a baseball over time, we can use the data provided:
- The outfielder can throw a baseball at a speed of 154 feet per second.
- The point (2.5, 385) represents that at 2.5 seconds, the distance thrown is 385 feet.
We can find the distance (d) as a function of time (t) using the formula:
\[ d = \text{speed} \times t \]
Given that the speed is 154 feet per second, the equation would be:
\[ d = 154t \]
To verify this equation with the point (2.5, 385):
\[ d = 154 \times 2.5 = 385 \]
This matches with the plotted point, confirming that the equation is correct.
Now, let's relate this back to the responses:
The equation that represents this scenario based on the calculations we performed is:
**154⋅2.5=385**
**154 times 2.5 equals 385**
So, the correct response is:
**154⋅2.5=385**
- The outfielder can throw a baseball at a speed of 154 feet per second.
- The point (2.5, 385) represents that at 2.5 seconds, the distance thrown is 385 feet.
We can find the distance (d) as a function of time (t) using the formula:
\[ d = \text{speed} \times t \]
Given that the speed is 154 feet per second, the equation would be:
\[ d = 154t \]
To verify this equation with the point (2.5, 385):
\[ d = 154 \times 2.5 = 385 \]
This matches with the plotted point, confirming that the equation is correct.
Now, let's relate this back to the responses:
The equation that represents this scenario based on the calculations we performed is:
**154⋅2.5=385**
**154 times 2.5 equals 385**
So, the correct response is:
**154⋅2.5=385**