A. Let d represent the distance in miles and t represent the time in hours. The equation to represent the relationship between the two quantities is:
d = 0.35t
B. To find out how far the biker would travel in 20 minutes, we need to first convert 20 minutes to hours:
20 minutes รท 60 minutes/hour = 0.33 hours
Then, we can substitute 0.33 for t in the equation:
d = 0.35(0.33)
d = 0.1155
Therefore, the biker would travel approximately 0.1155 miles in 20 minutes.
C. To find out how many minutes the biker biked if he traveled 48 miles, we need to rearrange the equation to solve for t:
d = 0.35t
t = d/0.35
t = 48/0.35
t = 137.14
Therefore, the biker biked approximately 137.14 minutes or 2.29 hours (rounded to the nearest tenth).
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.
A. Define variables and write an equation to represent the relationship between the quantities.
B. How far would the biker travel in 20 minutes?
C. If the biker traveled 48 miles, how many minutes did he bike? Round to the nearest tenth
1 answer