Chapter 4 - Graphs
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Graph for use with questions 1, 2, 3 and 5
The co-ordinates of A could be:- (2, 3)
- (3, 2)
- (-3, 2)
- (-2, 3)
- The co-ordinates of B could be:
- (-1, -2)
- (-0.5, -2)
- (-2, -0.5)
- (-2, -1.5)
- The co-ordinates of C could be:
- (1.5, -1.5)
- (-1.5, 1.5)
- (-1.5, 2)
- (-2, 2)
- The general equation of a straight line is:
- y = mx + c
- y = cx + m
- y = (m + c)x
- y = c/m x
- The line BD in the diagram above has a gradient of:
- 1/8
- -4
- +8
- -8
- In the general equation of a straight line:
- c is the intercept on the x axis and m the change in x over corresponding change in y
- c is the intercept on the y axis and m the change in y over corresponding change in x
- c is the intercept on the x axis and m the change in y over corresponding change in x
- c is the intercept on the y axis and m the change in x over corresponding change in y
- The slope and the intercept for the equation 2y = 3x + 4 are respectively:
- 3 and 4
- 3 and 2
- 2 and 3
- 1 ½ and 2
- The slope and the intercept for the equation 3x – 4y = 6 are respectively:
- 3 and 6
- 3/4 and 1 1/2
- 3/4 and -1 1/2
- -3/4 and 1 ½
- The slope and the intercept for the equation 4/y = 3/x are:
- 3 and 4
- 1 1/3 and 0
- 0 and 3/4
- 3 and 0
- A shopkeeper has noticed that his sales of bread (S) are reduced whenever he increases the price (P). At 50p per loaf he sells 150 loaves on average but this reduces by 3 for every penny increase. The slope and the intercept for the equation describing this situation are:
- 150 and -3
- 300 and 3
- 300 and -3
- 7500 and -3
- The time (T hours) required to dispatch a consignment of seedlings from a nursery is directly proportional to the size of the consignment (S). If 150 trays of seedlings take 3 hours, the slope and the intercept for the equation describing this proportionality are:
- 150 and 3
- 50 and 3
- 1/50 and 0
- 3 and 0
- You buy 500 shares at £0.35p per share. They then increase in value by 7% per year. The slope and the intercept for a graph describing their change in value against time over their first year could be:
- 0.35 and 500
- 0.07 and 500
- 7 and 500
- 7 and 175
- After 2 years will the same equation apply?
- yes
- no because the intercept will be different
- no because the slope will be different
- no because it can no longer be a straight line
Graph A describes :- a straight line
- a parabola
- hyperbola
- none of these
- Graph B describes :
- a straight line
- a parabola
- hyperbola
- none of these
- Graph C describes :
- a straight line
- a parabola
- hyperbola
- none of these
- Graph D describes :
- a straight line
- a parabola
- hyperbola
- none of these
- Graph E describes :
- a straight line
- a parabola
- hyperbola
- none of these
The co-ordinates of the point where the lines y = 3 – x and y = 4 intersect are:- (1, 1)
- (1, -1)
- (-1, 4)
- (-1, -4)
- The values of x where the lines y = 3 – x and y = 2/x intersect could be:
- 1, 2
- 1, -2
- -1, 2
- -1, -2
- The values of x where the lines y = 3 – x and y = 2x2 - 5 intersect could be:
- (2.3, 1.8)
- (1.8, 2.3)
- (-2.3, 1.8)
- (1.8, -2.3)
- The co-ordinates of a point where the lines y = 3 - x and y = 2/x intersect could be:
- (1, 2)
- (1, -2)
- (-1, 2)
- (-1, -2)
- The co-ordinates of one point where the lines y = 2x2 - 5 and y = x2 + 2x -1 intersect could be:
- (-1, -2)
- (-1.2, -1.9)
- (-1.2, 1.9)
- (1.2, -1.9)
- The equation R = 250n - 5n2 describing revenue in terms of the number of items sold would graph as :
- a straight line
- a parabola
- hyperbola
- none of these
- The equation R = 250n describing revenue in terms of the number of items sold would graph as :
- a straight line
- a parabola
- hyperbola
- none of these
- The equation y = - 5x2 would graph as :
- a straight line
- a parabola
- hyperbola
- none of these
- The equation y = 1/5x would graph as :
- a straight line
- a parabola
- hyperbola
- none of these
If the maximum number items which could be sold is 600 and this reduces by 5 for every £1 increase in their selling price (£p) the formula for the number of items (n) sold is:- n = 600 – 5p
- n = 600 + 5p
- p = 600 – 5n
- 600 + 5n
- The revenue coming in from the sale of these n items is:
- R = 600p – 5p2
- R = 600p + p2
- 600 – 5n2
- 600 + n2
- The meaning of the intersections of the lines on the garph describing the Cost and the Revenue is:
- The cost is a minimum
- The revenue is a maximun
- The profit is zero
- The revenue is zero
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