2. Huma’s father gives her $120 as her monthly allowance.
a. If she spends an average of $5 each day, find the amount of money that she is left with after
i. 3 days
ii. 6 days
iii. 10 days.
b. Given that $y represents the amount of the money Huma has left after x days, copy and complete the table.

x 3 6 10
y

x  3       6     10

y 105   90    70

Step-by-step explanation:

5 times 3 is 15, 120-15=105

5 times 6 is 30, 120-30=90

5 times 10 is 50, 120-50=70

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3