Let x be the time in minutes that the biker travels and let y be the distance in miles that the biker travels.
We can find the equation of the line through the points (1, just below 0.5), (2, just above 0.5), (5, between 1.5 and 2), (8, just below 3), and (10, 3.5).
First, we can notice that the biker takes 10 minutes to travel 3.5 miles. Therefore, the biker's speed is 3.5 miles / 10 minutes = 0.35 miles/minute.
We can now represent the relationship between the time and distance using the equation y = 0.35x.
1) The biker would travel y = 0.35 * 20 = 7 miles in 20 minutes.
2) To find how long the biker would take to travel 48 miles, we can set y equal to 48 and solve for x:
48 = 0.35x
x ≈ 137.1
So the biker would take approximately 137.1 minutes to travel 48 miles.
The graph shows the relationship between the distance a professional biker is traveling and the time in hours.
A graph is shown in the xy-plane. The x-axis is labeled as Time in minutes and the y-axis is labeled as Distance in miles. The values on the x-axis ranges from 0 to 10 in increments of 1 and the values on the y-axis ranges from 0 to 4 in increments of 0 decimal point 5. A line starts from the origin and goes up. Five points are marked on the line. For 1 on the x-axis the value of y is just below 0 decimal point 5 on the line, for 2 on the x-axis the value of y is just above 0 decimal point 5 on the line, for 5 on the x-axis the value of y is between 1 decimal point 5 and 2 on the line, for 8 on the x-axis the value of y is just below 3 on the line, and for 10 on the x-axis the value of y is 3 decimal point 5.
Define variables and write an equation to represent the relationship between the quantities.
How far would the biker travel in 20 minutes?
If the biker traveled 48 miles, how many minutes did he bike? Round to the nearest tenth.
1 answer