tickets to a play cost 3 dollars a child and 5 for adults. theater wants at least 1500 in sales.
find intercept and describe what each one represents?
To find the intercepts in this scenario, we need to set up an equation that represents the relationship between the number of children and adults attending the play and the corresponding ticket sales.
Let's assume that x represents the number of children attending the play, and y represents the number of adults attending the play. Since the cost of a child's ticket is $3 and an adult's ticket is $5, the total ticket sales can be calculated by multiplying the number of children by $3 and the number of adults by $5, and then summing them up.
So the equation representing the ticket sales is: 3x + 5y = total sales
Now, to find the intercepts, we can set either x or y to 0 and calculate the value of the other variable. The intercepts are the points where the line representing the equation crosses the x or y-axis.
To find the x-intercept, we set y = 0 in the equation:
3x + 5(0) = total sales
3x = total sales
x = total sales / 3
The x-intercept represents the number of children attending the play when there are no adult tickets sold. In other words, it is the minimum number of children required to generate ticket sales that meet or exceed the theater's minimum sales target.
To find the y-intercept, we set x = 0 in the equation:
3(0) + 5y = total sales
5y = total sales
y = total sales / 5
The y-intercept represents the number of adults attending the play when there are no child tickets sold. In other words, it is the minimum number of adults required to generate ticket sales that meet or exceed the theater's minimum sales target.
The intercepts provide information about the minimum number of children and adults required to achieve the minimum sales target set by the theater.