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AleksAgata [21]
3 years ago
7

Vivian found data about her city's population and made a scatter plot the equation of the linebbest fit for. Her data is p= 637.

5 + 198,368.1 where p is the population and t is the number of years since 1990 what is the real word meaning of the slope of this line
Mathematics
1 answer:
Andre45 [30]3 years ago
7 0

Answer:

annual growth rate m = 637.5 people / year

Step-by-step explanation:

Solution:-

- The scatter plot displaying the city's population was modeled by a linear equation of the form:

                               y = m*x + c

Where, m and c are constants.

- The scatter plot displayed the following relation of the city's population (p):

                               p = 637.5*t + 198,368.1

Where, p : The population in t years after after 1990

            t : The number of years passed since 1990.

- The slope of the graph "m = 637.5" denotes the rate of change of dependent variable with respect ot independent variable:

                             dp / dt = m = 637.5

- So the rate of change of population per unit time t since 1990 has been constant with a an annual growth rate m = 637.5 people / year

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2 years ago
A local salesman receives a base salary of $975 monthly. He also receives a commission of 6% on all sales over $1200. How much w
IrinaK [193]

He has to sell in a month $26616.67.

Given that a local salesman receives a base salary of $975 monthly and he also receives a commission of 6% on all sales over $1200.

A numerical assertion wherein two articulations are delivered equivalent to each other is known as an algebraic condition.

Let the Sales amount be s.

We have:

Sales over 1,200 is written as

s-1200

6% is also 0.06  as a decimal,

so according to question, we have

0.06(s - 1200) + 975=2500

Now, we will apply the distributive property a(b+c)=ab+ac, we get

0.06s-0.06×1200+975=2500

Further, we want to simplify the left-hand side, we get

0.06s-72+975=2500

0.06s+903=2500

Furthermore, we will subtract 903 from both sides, we get

0.06s+903-903=2500-903

0.06s=1597

Now, we will divide both sides with 0.06, we get

0.06s/0.06=1597/0.06

s=26616.67

Hence, he have to sell in a month if he needed to have a monthly income of $2500 is $26616.67.

Learn more about algebraic equation from here brainly.com/question/4344214

#SPJ4

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