a) The linear function is:
b) The estimate for the number of people employed in 2012 is of 569.2.
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A linear function has the following format:
In which
- m is the slope, that is, how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
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Item a:
- During the first year of observation, the number of people, in thousands of dollars, was of 373. Thus, the y-intercept is
- In 10 years, it changed from 373 to 591, thus, the slope is:
The function is:
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Item b:
2012 is 9 years after 2003, thus, this is
The estimate for the number of people employed in 2012 is of 569.2.
A similar problem is given at brainly.com/question/24742848
Here 4 is called the antecedent, and 12 is called the consequent. The first term is always called the antecedent and the second term is always called the consequent.
<span> Your ratio can be reduced, just like a fraction. Here, 4 and 12 share the common factor of 4. So we can divide both numbers by 4 to get a ratio that means exactly the same thing as 4:12. This ratio will be 1:3.</span><span> In other words, 1:3 is the same as your ratio 4:12.</span><span> Ratios sometimes mean how each number relates to some whole amount. For example, your ratio is 4:12. Since, 4 + 12 = 16, 16 is your whole amount. So, 4 is one part of 16, and 12 is the other part of 16.</span><span> So your ratio means 4/16 forms one part, and 12/16 forms the other part. This is what is meant by "ratios compare the size of one number to another number." The size of these two parts is what a ratio compares.</span><span> Notice that 4/16 = 0.25 (25%), and 12/16 = 0.75 (75%) (these are the two parts), and 0.25 + 0.75 = 1 (they add to be 1 whole).</span><span> This can also be stated in terms of percentages, like 25% + 75% = 100%.</span>
Answer:
1 5/8 feet/year
Step-by-step explanation:
Height tree grew in 10 years
= 36 3/4-20 1/2
= 16 1/4 feet
Rate tree grew in a year
= 16 1/4÷10
= 1 5/8 feet/year
The value of the underlined digit is the tenths place, so 5*10=50
say the numbers are "a" and "b", we know that they're in the ratio of 2:3, or namely that