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The number of hours, x, Ryan rides his bike and the total number of miles, y, he rides is a lineadrelationship. Ryan has already ridden 5 miles, and he can ride at a constant rate of(12 miles per hour. Write an equation relating × hours and y miles. Then predict how many minutes will pass for Ryan to have traveled a total of 60 miles.

User Hamish
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Answer: If x represents the number of hours that Ryan rides his bike, and y represents the total number of miles that he rides, we can write the equation relating x and y as:

y = 12x + 5

This is a linear equation in slope-intercept form, where the slope is 12 (the rate at which Ryan rides, in miles per hour) and the y-intercept is 5 (the number of miles Ryan has already ridden).

To predict how many minutes it will take for Ryan to ride a total of 60 miles, we can substitute y = 60 into the equation and solve for x:

60 = 12x + 5

55 = 12x

x = 55/12

To convert this to minutes, we need to multiply by 60, since there are 60 minutes in an hour:

x (in minutes) = (55/12) * 60

x (in minutes) ≈ 275

Therefore, it will take Ryan approximately 275 minutes (or 4 hours and 35 minutes) to ride a total of 60 miles.

Explanation:

User Rouzbeh Zarandi
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