The table below represents the velocity of a car as a function of time:Time Velocity(hour) (miles/hours)5054Part A: What is the ntercept of the function, and does this tyou about the car? (4 polnts)the rate represents. Apalntswhat average Part B: Calculate the average rate of change of the function represented by the table between x to x 3 hours, and tell what motion? Rpoints)1 Part C: What would be the domain of the function if the velocity of the car was measured until it reached 60 mileshour and the car does not change

The table below represents the velocity of a car as a function of timeTime Velocityhour mileshours5054Part A What is the ntercept of the function and does this class=

Respuesta :

Part A: "What is the y-intercept of the function? What does this tell you about the car?"

Well, the y-intercept is when the x-value is equal to 0. So find that, and that's your answer! I'll help you with the second question of part A. Basically, let's just say the y-intercept is y for now. The y-intercept, as I said before, is when the x-value is equal to zero. The x-value in this case represents time. And the y-value represents velocity. So that would mean that when 0 hours pass, the velocity is y mph. Now, the y-intercept should be really easy for you to find because it's like right there, but when you don;t have it in the graph, just plot the points at a website like wolframalpha or fooplot and look for where the line crosses the y-axis and that is your y-intercept.

Part B: Basically you're finding the slope. The slope formula is pretty simple and easy to calculate. m = (y2 - y1)/(x2 - x1). So you already know it's between x = 1 and x = 3, so just figure out the corresponding y-values, which are also on the table, plug them in, and calculate. Then you have the average rate of change, or slope.

Part C: This part I am not too sure, but I am assuming you have to make the y-value 60. and then figure out what the x-value would be. You can see by the pattern of the table, or you can just plot it using fooplot.com or wolframalpha.com and see what the x-value is when the y-value is 60.

Hope I helped!
Darry