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almond37 [142]
2 years ago
5

Rodney created a graph of each given linear equation below, but Rodney made mistakes on each of his graphs. Explain Rodney’s err

ors on each of them

Mathematics
1 answer:
iogann1982 [59]2 years ago
4 0

Rodney's errors on each of the graphs given can be explained as in the explanation below.

<h3>Linear graphs of slope-intercept form equations</h3>

Rodney's error on each of the given linear graphs are as follows;

For y= 30x +10;

  • The slope of the graph is 30 and it's intercept is; 10. Hence, the graph should intersect/touch the y-axis at (0,10)

For y= (-1/2)x +5;

  • The slope of the given function is; -1/2 and hence, the graph should be a decreasing linear graph.

For y= x -2;

  • The slope and intercept of the given function are 1 and -2 respectively. On this note, the graphed line should intersect the y-axis at point (0, -2) and the graph should be an increasing linear graph.

Read more on linear graphs;

brainly.com/question/14323743

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Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and t
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Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x 1.025^n, where

n is the number of years after 1993 and

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An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

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Step-by-step explanation:

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