Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 b
locks to work.
Which graph best represents the scenario?
A coordinate plane graph is shown. The x-axis is labeled time and the y-axis is labeled distance from home in miles. The line increases for 10 minutes, stays horizontal for 15 minutes, increases rapidly for another 25 minutes, then increases slowly for 5 minutes.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 commas 0 and then rises to 20 comma 4, where it drops back down to touch the x-axis at 30 commas 0. It then rises to 40 commas 5 and is horizontal for 15 minutes.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. A line begins at 0 commas 2, then rises to 20 commas 4. It is horizontal to 30 commas 4 and then increases to 40 commas 5. It is horizontal to 55 commas 5.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 commas 5 and decreases to 15 commas 1 where it is horizontal to 25 commas 1. It increases to 40 commas 5 and then decreases to 55 commas 0.
Which graph best represents the scenario?
A coordinate plane graph is shown. The x-axis is labeled time and the y-axis is labeled distance from home in miles. The line increases for 10 minutes, stays horizontal for 15 minutes, increases rapidly for another 25 minutes, then increases slowly for 5 minutes.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 commas 0 and then rises to 20 comma 4, where it drops back down to touch the x-axis at 30 commas 0. It then rises to 40 commas 5 and is horizontal for 15 minutes.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. A line begins at 0 commas 2, then rises to 20 commas 4. It is horizontal to 30 commas 4 and then increases to 40 commas 5. It is horizontal to 55 commas 5.
A coordinate plane graph is shown. The axis is labeled time and the y-axis is labeled distance from home in miles. The line begins at 0 commas 5 and decreases to 15 commas 1 where it is horizontal to 25 commas 1. It increases to 40 commas 5 and then decreases to 55 commas 0.
2 answers:
Answer:
The first graph best represent the given scenario.
Step-by-step explanation:
Given that Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work. we have to find which graph best represent the scenario.
In the first graph, it is given The line increases for 10 minutes means the distance as well as time increases i.e Kent walked for 10 minutes then, stays horizontal for 15 minutes means no distance covered i.e stop or wait for 15 minutes. After that graph increases rapidly for another 25 minutes, that means rode the bus for 25 minutes then increases slowly for 5 minutes indicate walked to work.
The above graph best represent the scenario.
All three option is analysed by graphing which doesn't show the above given scenario.
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Answer:
The equation of the parabola is . The average rate of change of the parabola is -4.
Step-by-step explanation:
We must remember that a parabola is represented by a quadratic function, which can be formed by knowing three different points. A quadratic function is standard form is represented by:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
,
,
- Coefficients, dimensionless.
If we know that ,
and
are part of the parabola, the following linear system of equations is formed:
This system can be solved both by algebraic means (substitution, elimination, equalization, determinant) and by numerical methods. The solution of the linear system is:
,
,
.
The equation of the parabola is .
Now, we calculate the average rate of change (), dimensionless, between
and
by using the formula of secant line slope:
The average rate of change of the parabola is -4.