Answer:
Step-by-step explanation:
If the relationship between cost and the number of chairs produced is linear, we would write an equation that expresses this relationship in the slope intercept form. It is expressed as
y = mx + c
Where
m represents the slope
c = intercept.
Slope = (y2 - y1)/(x2 - 1)
y2 = final value of y = 4800
y1 = initial value of y = 2200
x2 = final value of x = 300
x1 = initial value of x = 100
Slope, m = (4800 - 2200)/(300 - 100) = 2600/200 = $13 per chair.
To determine the intercept, we will substitute y = 4800, x = 300 and m = 13 into y = mx + c. It becomes
4800 = 13×300 + c = 3900
c = 4800 - 3900 = 900
The equation becomes
y = 13x + 900
For finding the given literal equation is necessary to apply the power 2 on both sides of the given equation and after that you should rewrite the equation as a function of the variable m .
<h3>
Power Rules</h3>
There are different power rules, see some them:
1. Multiplication with the same base: you should repeat the base and add the exponents.
2. Division with the same base: you should repeat the base and subctract the exponents.
3.Power. For this rule, you should repeat the base and multiply the exponents.
4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.
The question gives: and from the previous equation, you should find .
STEP 1 - Applying the power 2 on both sides of the equation .
STEP 2 - Rewriting the equation as a function of the variable m .
Read more about power rules here:
brainly.com/question/12140519
#SPJ1
<h2>
The required "option D) 54 + 42 = 6(9 + 7)" is correct.</h2>
Step-by-step explanation:
We have,
The sum of 42 and 54
= 42 + 54
∴ 42 and 54
42 = 2 × 3 × 7 and
54 = 2 × 3 × 3 × 3
The greatest common factor of 42 and 54
= 2 × 3
= 6
∴ 42 + 54
= 6(7 + 9)
= 6(9 + 7)
Thus, the required "option D) 54 + 42 = 6(9 + 7)" is correct.