Find the slope of the line 3x+5y=30

Mathematics

1 answer:

andrey2020 [161]2 years ago

5 0

The slope of the line is -3/5x.

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A town's population has been growing linearly. In 2003, the population was 59.000 and the population has been growing by 1,700 p

Rudiy27

Answer:

In 2003, the population was 59000 and the population has been growing by 1,700 people each year.

The equation will be:

59000+1700x = (population 'x' years after 2003)

For x, you plug in the amount of years after 2003.

Like if it is the year 2003, the population is $59000+1700(0)$

= 59000

when it is year 2005, the population is $59000+1700(2)$

= 62400

The town's population in 2007 will be :

$(2007-2003=4)$

$59000+1700(4)$

Population = 65800

$59000+1700x=77700$

=> $1700x=18700$

x = 11

Means $2003+11=2014$

Hence, by year 2014 the population will be 77700.

5 0

3 years ago

Rochelle works part-time at the college museum, which pays her at a rate of $10 per hour. She also makes small bracelets that sh

katrin [286]

We know for our problem that Rachel makes $10 per hour. Since $x$ represent the number of hours that she works, $10x$ will be the total amount that she will make for working $x$ hours. We also know that she sells bracelets for $5 each. Since $y$ represents the number of of bracelets that she sells, $5y$ will be her total revenue for selling $y$ bracelets. We also know that she needs to earn at least $200 a week to cover her expenses, so the sum of $10x$ and $5y$ must be equal or greater than 200:

$10x+5 \geq 200$

We can conclude that the graphs that shows the inequality that represents this situation, with its solution region shaded is: