Mark is in training for a marathon race. He has been training by running 10 miles each day. He will be increasing his running by
this weekly formula: y = 10 (1.1 )x, where y is the number of miles he will run each day, x weeks from now. Compute the distance Mark will run each day for 52 weeks (one year) from now using the formula. Does this distance seem reasonable?
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Answer:
Step-by-step explanation:
There are some transformations for a function . Two of those transformations are:
1. If , then the function is translated "k" units up.
2. If , then the function is translated "k" units down.
In this case, you have the following Quadratic function given in the exercise:
According to the information given, the function is obtained by translating the Quadratic function
3 units up. Based on this, you can identify that the transformation is the following:
Where
Therefore, you can determine that:
The graph that represents the linear equation is attached below.
<h3>How to Interpret the Equation of a Linear Graph?</h3>A linear graph can be modelled by an equation in slope-intercept form, as: y = mx + b. Here, we have:
- m as the slope value = change in y / change in x
- b as the y-intercept which is the point on the y-axis that the line intercepts which is also the starting value/initial value.
Given the linear equation, y = 5x + 10, it means the slope of the graph that represents this equation would be 5, while the line that intersects the y-axis would be at 10.
In the graph attached below, the slope is 5, and the y-intercept is 10.
Therefore, the graph that represents the linear equation is attached below.
Learn more about the linear equation graph on:
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