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;
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Answers:
What is the ratio? 120:2
What is the unit rate? 60:1
What is the rate? 60 jumping jacks per minute
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Further Explanation:
To find the ratio of jumping jacks to minutes, you just write the two values 120 and 2 separated by a colon. That's how we get 120:2 as our first answer.
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Once we have 120:2, we divide both parts by 2 to get 60:1
120/2 = 60
2/2 = 1
The reason why we do this is so that the "2 minutes" turns into "1 minute". A unit ratio has the time value in unit increments so we can see how many jumping jacks Samuel can do. Writing "60:1" means "60 jumping jacks in 1 minute"
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Saying "60 jumping jacks in 1 minute" is the same as saying "60 jumping jacks per minute", which is similar to a car's speed of something like 60 miles per hour. The unit "X per Y" is the template for speed, where X is the number of items you get done and Y is the unit of time. In this case, X = 60 jumping jacks and Y = 1 minute.
We need to calculate the period of the function
Periodicity of a general function is given as follows:
Now, periodicity of is .
Now,
Periodicity of the function:
is given by:
here,
Therefore, the period of the function is 4.
Hi Softballgirl6! I would say that first, we could pretend that the zeros don't exist because we could add those in later. Then just working with 1x2x3x4, we could mentally solve this to 24 and then add in the extra 4 zeros that we left out at the beginning. This brings the answer to 240000. Hope this helps! :)