In a discount clothing store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. if one sweater and four shirts cost $45, while four sweaters and five shirts cost $92, find the price of one sweater and the price of one shirt.

Say SH is the shirt cost and SW is the sweater cost: 
SW + 3SH = 42 
3SW+2SH = 56 

Solve the first for SW: 
SW = 42-3SH 

Plug that into the second: 
3(42-3SH) +2SH = 56 

Simplify: 
126 - 9SH +2SH = 56 
70 = 7SH 
SH = 10 

Plug this back into the SW formula: 
SW = 42 - 3SH = 42 - 3*10 = 12 

Shirts cost $10, sweaters cost $12. 

Google will togoh

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

f(-2) = -3f(1) = 6 . . . estimated from f(x) = (x+2)^2-3, which matches points on the graph (-1,-2) and (0, 1)

so the change in y-value for function f is (6 )) = 9.

the table tells us

g(-2) = 1g(1) = 31

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).