Use the graph below to answer each exercise :
1) What is the y-intercept? What does it mean for this situation?
2) What is the x-intercept? What does it mean for this situation?
3) If 40 adult tickets are sold, how many children tickets must be sold? Write the point also.
4) If 100 children’s tickets are sold, how many adult tickets must be sold? Write the point also.
5) What is the slope of the line? Pick any 2 points and show your work:
6) Describe the slope of the line and what it means in regards to tickets:
Answers
Answer:
1 ) If a function intersects or cuts the y-axis at a point ( 0,y ), then the distance between the origin to that point is termed as y - intercept. (Distance between (0,0) to (0,y).) In simpler terms, the value of 'y' when the value of 'x' is 0.
In this question, the function cuts the y-axis at (0,140). Hence the y-intercept of this graph is 140. It shows that, 140 children tickets (y) are sold when adult tickets (x) sold is equal to zero.
2 ) If a function intersects at a point (x,0), then the distance between the origin to that point is termed as x - intercept. In simple, it is the value of 'x' when the value of 'y' is 0.
In this question, the function intersects at (70,0). Hence the x-intercept is 70. It shows that when Children tickets (y) sold is zero, then number of adult tickets (x) sold is 70.
3 ) From the graph we can see the corresponding values of children tickets for the number of adult tickets sold. According to it, if 40 adult tickets are sold, the number of children tickets sold is 60.
4 ) Similar to last question, if 100 children tickets are sold, the number of adult tickets sold is 20.
5 ) Slope of the line is given by the formula:
But since the graph is having an obtuse angle on clockwise rotation (Rotation from x-axis towards y-axis), the slope is in negative. Therefore the Slope of the line is -2.
6 ) The Slope of the line refers to the change of y-axis w.r.t change in x-axis.
According to this problem, it is the change of number of Children tickets w.r.t to change in the number of Adult tickets.
These are the required answers.
Answer:
Answer:
1 ) If a function intersects or cuts the y-axis at a point ( 0,y ), then the distance between the origin to that point is termed as y - intercept. (Distance between (0,0) to (0,y).) In simpler terms, the value of 'y' when the value of 'x' is 0.
In this question, the function cuts the y-axis at (0,140). Hence the y-intercept of this graph is 140. It shows that, 140 children tickets (y) are sold when adult tickets (x) sold is equal to zero.
2 ) If a function intersects at a point (x,0), then the distance between the origin to that point is termed as x - intercept. In simple, it is the value of 'x' when the value of 'y' is 0.
In this question, the function intersects at (70,0). Hence the x-intercept is 70. It shows that when Children tickets (y) sold is zero, then number of adult tickets (x) sold is 70.
3 ) From the graph we can see the corresponding values of children tickets for the number of adult tickets sold. According to it, if 40 adult tickets are sold, the number of children tickets sold is 60.
4 ) Similar to last question, if 100 children tickets are sold, the number of adult tickets sold is 20.
5 ) Slope of the line is given by the formula:
Slope=Value of vertical changeValue of horizontal change\boxed{Slope = \dfrac{\text{Value of vertical change}}{\text{Value of horizontal change}}}
Slope=
Value of horizontal change
Value of vertical change
⟹Slope=14070=2\implies \boxed{Slope = \dfrac{140}{70} = 2}⟹
Slope=
70
140
=2
But since the graph is having an obtuse angle on clockwise rotation (Rotation from x-axis towards y-axis), the slope is in negative. Therefore the Slope of the line is -2.
6 ) The Slope of the line refers to the change of y-axis w.r.t change in x-axis.
According to this problem, it is the change of number of Children tickets w.r.t to change in the number of Adult tickets.
These are the required answers.