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<h2>Explanation:</h2><h2 />
Here we have to compute the dot product:
We know that:
So for any two vectors:
The dot product:
Therefore:
This is fairly simple
Plug in the numerical values given for each variable.
5(-2) -3(2) -(-3)
-10 -6 + 3 (negative x negative = positive)
-16 + 3
-13 is the final answer
The formula for weight in linear function is y= 7.7x + 7
<u>Step-by-step explanation:</u>
Given that,
- The weight of the born baby = 7 lbs
- The weight of the baby at 10 years = 84 lbs.
To find the linear function, the rate of change of weight must be calculated.
<u>To find the rate of change of the baby's weight:</u>
The change in the weight is from 7 lbs to 84 lbs.
- The total change = 84 - 7 =77
- The rate of change = 77 / 10 years = 7.7
Therefore, the rate of change of weight of the baby is 7.7 lbs.
This means that, every year the weight has been increased by 7.7 lbs and in 10 years the baby gained a weight of 84 lbs.
<u>From this information, the linear function is given as :</u>
Total weight = 7.7(number of years) + born weight.
⇒ y= 7.7x + 7
where,
- The born weight is 7 lbs.
- y is the total weight of the baby
- x is the number of years
