The equation y= 12x + 5 shows the total cost for ordering tickets on the phone for a certain outdoor concert.
Tickets are $12 each, and there is a one-time service
fee of $5. Can the slope of this line be thought of as
a rate? Can someone "Explain" this problem to me thks!
the cost changes by $12 per ticket, so that is the rate of changes of cost due to changes in ticket number.
Thanks Damon I understood!
Yes, the slope of the line in the equation y = 12x + 5 can be thought of as a rate. In this scenario, the slope represents the rate at which the total cost of ordering tickets on the phone increases with each additional ticket.
To explain this problem further, let's break down the equation:
y = 12x + 5
In this equation, "x" represents the number of tickets being ordered, and "y" represents the total cost. The equation is in the form of y = mx + b, where "m" is the slope and "b" is the y-intercept.
The slope of the equation is 12. This means that for each additional ticket ordered (x increases by 1), the total cost (y) increases by 12 units. In other words, the cost of the tickets increases at a constant rate of $12 per ticket.
The y-intercept is represented by the constant term 5. The y-intercept is the value of y when x is zero, meaning it is the initial cost before ordering any tickets. In this equation, the y-intercept of 5 represents the one-time service fee of $5, which is added to the total cost regardless of the number of tickets ordered.
So, in summary, the slope of the line in the equation y = 12x + 5 represents the rate at which the total cost increases with each additional ticket, and in this scenario, it is a rate of $12 per ticket.