HELP PLEASE Arthur has decided to start saving for a new computer. His money is currently in a
piggy bank at home, modeled by the function s(X) = 85. He was told that he could do
the laundry for the house and his allowance would be al/) = 10(- 1), where x is
measured in weeks. Explain to Arthur how he can create a function that combines
the two, and describe any simplification that can be done, (10 points)

So in other words, each week he works, he gets an additional $10, to add to his collection of really $75.

Step-by-step explanation:

so, he has $85 in savings, and that he has the opportunity to gain allowance by the following function of 10(x-1).  

total funds(x) = 85 + 10(x-1)  

T(x) = 85 + 10x - 10  

T(x) = 10x + 75

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal

the linear relationship that represents a variation in direct proportion is the linear function that varies according to the numbers of its domain, for example the cost of producing x number of items can be represented in direct proportion by f (x) = mx + b, where m is the constant of proportionality, x the number of articles produced and b the fixed cost