Final answer:
The equation that models the relationship between the total cost, y, and the number of hours, x, that the bicycle is rented is y = 10 + 3.75x. This equation includes an initial fee of $10.00 (the y-intercept) and an additional charge of $3.75 per hour (the slope).
Step-by-step explanation:
The equation that models the relationship between the total cost, y, and the number of hours, x, that the bicycle is rented is:
y = 10 + 3.75x
Where y represents the total cost and x represents the number of hours the bike is rented. The equation includes an initial fee of $10.00 (the y-intercept) and an additional charge of $3.75 per hour (the slope).