The cost, y, of renting a canoe can be shown by y+12x + 30 where x is the time in hours. Identify the y intercept as an ordered pair and explain what it means in terms of the problem.
You must have meant:
y = 12x+30
the y - intercept is (0,30)
it means that there is a basic cost of $30 to rent the canoe.
So as soon as you tied your canoe to the top of your car, it would have cost you $30.
To identify the y-intercept of the equation y = 12x + 30, we need to set x to 0:
y = 12(0) + 30
y = 0 + 30
y = 30
Therefore, the y-intercept of the equation is (0, 30).
In terms of the problem, the y-intercept represents the cost of renting the canoe when x (the time in hours) is 0. This means that even if you rent the canoe for zero hours, there is still a base cost of $30.
To identify the y-intercept as an ordered pair, we need to set x equal to zero in the equation y = 12x + 30:
y = 12(0) + 30
y = 0 + 30
y = 30
Therefore, the y-intercept is (0, 30).
In terms of the problem, the y-intercept (0, 30) represents the cost of renting the canoe when the time in hours (x) is zero. In other words, it gives us the initial cost or the "baseline" cost of renting the canoe. In this case, when no time has been spent renting the canoe, there is still a cost of $30.