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7. a linear function represents caitlin's income.
she earns $35 plus $8 for each item she sells.
determine whether each point is on the graph
of her earnings, y, as a function of the number
of items sold, x. select each ordered pair that
is on the graph.
2. (7,91)
(11, 121)
c. (9, 110)
d. (4,67)
e. (5,72)
f. (3, 59)

a    true

b   false

c.    false

d.   true

e.    false

f.   true

Step-by-step explanation:

The function is y =35+8x where x is the number of items sold and y is the earnings

To determine if the point is on the graph substitute the point in and see if it is true

a (7,91)

91 = 35+ 8(7)

91 = 35+ 56  

91 = 91   true

b(11, 121)

121 = 35+ 8(11)

121 = 35+ 88  

121 = 123   false

c. (9, 110)

110 = 35+ 8(9)

110 = 35+ 72  

110 = 107   false

d. (4,67)

67 = 35+ 8(4)

67 = 35+ 32  

67 = 67   true

e. (5,72)

72 = 35+ 8(5)

72 = 35+ 40  

72 = 75   false

f. (3, 59)

59 = 35+ 8(3)

59 = 35+ 24  

59 = 59   true

x = 3 ± √(5+y)