Question

Daniel wants to predict how far he can hike based on the time he spends on the hike. He collected some data on the time (in hours) and distance (in kilometers) of some of his previous hikes. A line was fit to the data to model the relationship. Daniel wants to predict how far he can hike based on the time he spends on the hike . He collected some data on the time ( in hours ) and distance ( in kilometers ) of some of his previous hikes . A line was fit to the data to model the relationship .​

Answer 1

Linear equation is equation in which each term has at max one degree. The function that can represent the given graph is y=2.0769x + 1.5.

What is linear equation?

Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on Cartesian plane with axes of those variables, give a straight line.

For the given graph the equation can be written as, y = mx+c, this is because the graph is a line which means the relationship is linear. Therefore, the equation can be written as,

y = mx + c

Now, there are two points that are on the line and the coordinates of this points are,

A = (4, 9.5)

B = (7.25, 16)

Further the slope of the equation is,

m = (16-9.5) / (7.25 - 4) = 2.0769

Since c is the y-intercept of the graph, therefore, the value of c is 1.5.

Thus, the function that can represent the given graph is y=2.0769x + 1.5.

Learn more about Linear equations:

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