Position of Car

Time x (min) 1.0 2.0 3.0 4.0
Distance y (miles) 0.5 1.3 2.1 2.9

A car moves on a straight road. The position of the car is measured in terms of the distance of the car from its starting point. The table shows its positions at four different times.

Explain why a linear model is suitable to relate the position to the time.
Use a linear model to predict at what time the position will be y = 6.5 miles.
If the linear equation is graphed with x on the horizontal axis and y on the vertical axis, explain the meaning of the slope of the graph.

Question

Position of Car

Time x (min)	1.0	2.0	3.0	4.0
Distance y (miles)	0.5	1.3	2.1	2.9


A car moves on a straight road. The position of the car is measured in terms of the distance of the car from its starting point. The table shows its positions at four different times.  

Explain why a linear model is suitable to relate the position to the time.
Use a linear model to predict at what time the position will be y = 6.5 miles.
If the linear equation is graphed with x on the horizontal axis and y on the vertical axis, explain the meaning of the slope of the graph.

mathmale · Answer

Hint:  Check out whether the graph through all four given points is a straight line or not a straight line.