The answer is 5. 5×6 =30 30÷6 = 5
1) Number of letters Matilda has sorted after x hours: m(x)Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour:m(x)=50+50xwhere:Number of hours: x
Number of letters Lorraine has sorted after x hours: l(x)Lorraine has already sorted 80 letters and continues sorting at a rate of 40 letters per hour:l(x)=80+40xwhere:Number of hours: x
Which function can Matilda and Lorraine use to determine the total number of letters they have sorted after x hours?Total number of letters they have sorted after x hours: f(x)
f(x)=m(x)+l(x)f(x)=(50+50x)+(80+40x)f(x)=50+50x+80+40xf(x)=90x+130
Answer: The function Matilda and Lorraine can use to determine the total number of letters they have sorted after x hours is f(x)=90x+130
2) How many letters will they have sorted after 6 hours?
x=6→f(6)=?f(6)=90(6)+130f(6)=540+130f(6)=670
Answer: They will have sorted 670 letters after 6 hours
Answer: First option: The function that describes the total number of letters sorted by Matilda and Lorraine in x hours is given by f(x) = 90x + 130. Thus, they will have sorted 670 letters in 6 hours.
