Question

Can someone please help????

Answer 1

answers are given with the explanation as follows:

Explanation:

(a)

A(1) = 2+.25(1) = $2.25

A(7) = 2+.25(7) = $3.75

A(30) = 2+.25(30) = $9.5

(b)

A(d) = 2+.25(d)

10.50 = 2+.25d

d = 8.5/.25

thus, d = 34

(c)

domain is the set of possible input values given to the function. according to the question given domain, d is the number of days so it cannot be a decimal number.

(d)

range is the possible set of output values that comes as a result of the function. the given answer is out of the range because it is showing that the number of days is 4.4 which is invalid domain.

Answer 2

Answer (with steps and explanation):

(part a):

A(1) = 2 + 0.25(1) = 2 + 0.25 = 2.25

A(7) = 2 + 0.25(7) = 2 + 1.75 = 3.75

A(30) = 2 + 0.25(30) = 2 + 7.5 = 9.5

(part b):

A(d) = 10.50

10.50 = 2 + 0.25d

10.50 - 2 = 0.25d

8.50 = 0.25d

8.50/0.25 = d,

34 = d, d = 34

(part c):

Because the child doesn't receive money half-way through the day. The .5 behind the 2 indicates that the child receives money half-way through the day which is incorrect. The domain can only be a whole number.

(part d):

Because it isn't possible to get a .10 when
`d` increases by .25 (quarters) plus a whole number (2). The number behind the decimal can only be 0, 25, 50, or 75.