Alexandra has a stand in the marketplace where she sells ground cumin. she has a fixed amount of weekly expenses, and she sells her cumin for $7. 20 per kilogram. if she sells 90 kilograms of cumin, her weekly net profit is $414. -what are alexandra's weekly expenses? -how much cumin does alexandra have to sell to cover her weekly expenses?

- Alexandra's weekly expenses are $234.00

- Alexandra have to sell 32.5 kg to cover her weekly expenses.

Step-by-step explanation:

Alexandra sells her cumin per kilogram = $7.20

She sells cumin = 90 kilograms

total cost of  90 kg. cumin = 90 × 7.20 = $648.00

Her weekly net profit = $414.00

Her weekly expenses = 648.00 - 414.00 = $234.00

To find out how much Alexandra have to sell to cover her weekly expenses, we divide her weekly expense to her cumin rate per Kilogram.

Therefore 234.00 ÷ 7.20 = 32.5 kg.

- Alexandra's weekly expenses are $234.00

- Alexandra have to sell 32.5 kg to cover her weekly expenses.

the perimeter is increased by a factor of 2

  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.

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

the table tells us

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).