Matilda and lorraine work in the mail room of a large company sorting letters. matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour. lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour. which function can matilda and lorraine use to determine the total number of letters they have sorted after x hours? how many letters will they have sorted after 6 hours?

Matilda sorted 350 letters and Lorraine sorted 320 letters in 6 hours.

Step-by-step explanation:

Matilda and Lorraine work in the mail room of a large company sorting letters.

Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour.

Function representing this process will be f(x) = 50x + 50

where x is the time for sorting the letters.

Similarly, Lorraine has already sorted 80 letters and continues sorting 40 letters per hour.

Function representing this process will be g(x) = 40x + 80

Now we have to calculate the number of letters sorted after 6 hours by both of them.

We plug in the value of x = 6 in f(x) and g(x) to find the number of letters sorted.

f(6) = 50×6 + 50 = 350

g(6) = 40×6 + 80 = 320

Therefore, answer will be - Matilda sorted 350 letters and Lorraine sorted 320 letters in 6 hours.

answerthe vertex form

step-by-step explanation:

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98