The resale value of a certain car decreases over time. Use the line of best fit to estimate what the car will be worth in 7 year
s.
A. $2257
B. $9000
C. $5500
D. $3500
A. $2257
B. $9000
C. $5500
D. $3500
2 answers:
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For #7, one line should have the y-intercept of -2 and a slope of 2/3 and the other line's y-intercept is 1 and its slope should be -5.
In the image provided, the red line represents 2/3x - 2 and the blue line represents -5x + 1.
8) Organize the information you are given.
*Savannah is 24 years older than Ryan.
So, Ryan's age + 24 = Savannah's age.
*Sebastian is 5 times as old as Ryan.
So, Ryan's age × 5 = Sebastian's age.
*Savannah and Sebastian are twins. They have the same age.
So, Savannah's age = Sebastian's age
Let x represent Ryan's age.
Write the equation based on the information you are given.
x + 24 = x(5)
x + 24 = 5x
Solution: D) 24 + x = 5x
In the image provided, the red line represents 2/3x - 2 and the blue line represents -5x + 1.
8) Organize the information you are given.
*Savannah is 24 years older than Ryan.
So, Ryan's age + 24 = Savannah's age.
*Sebastian is 5 times as old as Ryan.
So, Ryan's age × 5 = Sebastian's age.
*Savannah and Sebastian are twins. They have the same age.
So, Savannah's age = Sebastian's age
Let x represent Ryan's age.
Write the equation based on the information you are given.
x + 24 = x(5)
x + 24 = 5x
Solution: D) 24 + x = 5x
Answer:
Slope of the Curve:
Equation of Tangent Line: y + 3 = -3/2(x + 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
- x₁ - x coordinate
- y₁ - y coordinate
- m - slope
<u>Calculus</u>
The definition of a derivative is the slope of the tangent line.
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Quotient Rule:
Step-by-step explanation:
<u>Step 1: Define</u>
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<u>Step 2: Take Derivative</u>
- Quotient Rule:
- Multiply:
- Subtract:
<u>Step 3: Find Instantaneous Derivative</u>
- Substitute in <em>x</em>:
- Exponents:
- Simplify:
This value shows the slope of the tangent line at the exact value of x = 2.
- Substitute: y + 3 = -3/2(x + 2)