a parking meter gives 30 minutes for each quarter and 6 minutes for each nickel. the equation 30x+6y=60 describes the number of quarters x and nickels y that you need to park for 60 minutes what does the x-intercept represent?
From the coefficients of the equation, you would have to figure out that x represents the number of quarters, and y=number of nickels.
The x-intercept means the number of quarters required if y=0 (no nickels used.)
To find out what the x-intercept represents in the equation 30x + 6y = 60, we need to understand the concept of intercepts first. In a two-variable equation like this one, the x-intercept is the point where the graph intersects the x-axis. At the x-intercept, the value of y is usually zero.
In this case, let's solve the equation by assuming y = 0:
30x + 6(0) = 60
30x = 60
x = 60/30
x = 2
So, the x-intercept in this equation is 2.
Now, let's interpret what this means in the context of the problem. In this situation, x represents the number of quarters needed to park for 60 minutes. Since the x-intercept is 2, it means that if you were to use only quarters (with no nickels), you would need 2 quarters to park for exactly 60 minutes.
Therefore, the x-intercept represents the number of quarters required to park for 60 minutes when no nickels are used.
The x-intercept of an equation represents the value of x when y is equal to zero.
In this case, when y is equal to zero in the equation 30x + 6y = 60, we have:
30x + 6(0) = 60
30x = 60
x = 2
Therefore, the x-intercept is 2. In the context of this problem, the x-intercept represents the number of quarters you would need to park for 60 minutes if you have zero nickels.