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levacccp [35]
3 years ago
11

8th grade math please help

Mathematics
1 answer:
zubka84 [21]3 years ago
4 0

Answer:  \bold{a)\quad E=\dfrac{1}{5}s}

                b) 75

                c) $24

<u>Step-by-step explanation:</u>

the difference in the y-values (electricity) divided by the difference in the x-values (students) is the rate of change. \dfrac{10}{50}=\large\boxed{\dfrac{1}{5}}

Electricity = rate of change × students  ⇒   E=\dfrac{1}{5}s

b) Find s when E = 15  

   15=\dfrac{1}{5}s\\\\\\(5)15=(5)\dfrac{1}{5}s\\\\\\\large\boxed{75 = s}

c) Find E when s = 120

   E=\dfrac{1}{5}\times 120\\\\\\E=\dfrac{120}{5}\\\\\\\large\boxed{E=24}

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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

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           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 = \frac{dI}{dn}

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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,

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             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.

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