Question

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?

Answer 1

Answer:

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.

Answer 2

For the second question the answer should be 50×6=300+50=350 letters for Matilda. And for Lorraine It would be 40×6=240+80=320