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Answer:
l(n) = 80n + 520
Step-by-step explanation:
From the information given in the question, there is a relationship between the number of new policy sold, n, and earning, I
For 3 new policies, he earned $760
For 5 new policies, he earned $920.
The rate of change of IIya's earning with respect to number of new policy sales is
m = $160 / 2 policies
m = $80 / policy
The linear equation for the relationship is;
l(n) = mn + b
I(n) is Ilya’s weekly income which is a function of the number of new policies, n
m is the rate of change of I with respect to n
n is the number of new policies,
b is the intial function which is IIya's income when n equals zero
Recall, Ilya earns a commission of $80 for each policy sold during the week. (m = $80 per policy)
l(n) = 80n + b
To complete the relationship l, we need to calculate the initial value b.
For 3 new policies, he earned $760,
760 = 80(3) + b
760 = 240 + b
b = 760 - 520
b = 520
The final equation is l(n) = 80n + 520
From the final equation, we can deduce that Ilya’s weekly salary is $520 and he earns an additional $80 commission for each new policy sold.
<h2><u>Q</u><u>u</u><u>e</u><u>s</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</h2>
What is the value of this expression when c = -4 and d = 10 ? (c³ + d²)
(c³ + d²) where c = -4 and d = 10
The value of the expression (c³ + d²)
(c³ + d²) [Given expression]
Now, putting the value of c = -4 and d = 10 , we get,
{ (-4)³ + (10)² }
( -64 + 100 )
( 36 )
× 36
Answer:
a) The trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.
b) At that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.
Step-by-step explanation:
a) First, we need to find the distance traveled by the cargo train in the two hours before the passenger train leaves Chicago:
Now, we can find the time when the trains will be 1520 km apart:
Where 1 is for the cargo train and 2 is for the passenger train.
Since we need to calculate the time when the trains are 1520 km apart, t₁ = t₂, so:
For the cargo train, it will be 1520 km apart from the passenger train at:
And for a passenger train, it will be 1520 km apart from the cargo train at:
Hence, the trains will be 1520 km apart at 2:40 pm for the cargo train and at 4:40 pm for the passenger train.
b) The distance traveled by both trains is given by:
Therefore, at that time the cargo train has traveled 560.04 km and the passenger train has traveled 960.12 km.
I hope it helps you!