<span>1) Number of letters Matilda has sorted after x hours: m(x)
</span><span>Matilda has already sorted 50 letters and continues sorting at a rate of 50 letters per hour:
</span>m(x)=50+50x
where:
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+40x
where:
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+40x
f(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) <span>How many letters will they have sorted after 6 hours?
x=6→f(6)=?
f(6)=90(6)+130
f(6)=540+130
f(6)=670
Answer: T</span>hey will have sorted 670 letters after 6 hours
Answer: First option: <span>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.</span>
I think 128????? my best guess
Answer: The initial value of a function is its value when equals zero. This is the same as the -intercept. We can see from the graph that our line crosses the -axis at the point zero, eight. Therefore, the initial value is eight.
Step-by-step explanation:
Answer:
The correct answer is A.
To find the y-intercept, substitute in 0 for x and solve for y
.