Question
. It costs a company $110 to produce 10 units of a certain item per day and $135 produce 15 units of the same item per day. a) Determine the linear equation of the line that models the situation. b) What is the cost of producing 90 items per day?
130
likes650 views
Answer to a math question . It costs a company $110 to produce 10 units of a certain item per day and $135 produce 15 units of the same item per day. a) Determine the linear equation of the line that models the situation. b) What is the cost of producing 90 items per day?
Gerhard
4.592 Answers
To find the linear equation:
1. Identify two given points: (10, 110) and (15, 135).
2. Calculate the slope:
m = \frac{135 - 110}{15 - 10} = \frac{25}{5} = 5
3. Use the point-slope form with point (10, 110):
y - 110 = 5(x - 10)
4. Solve for \( y \):
y - 110 = 5x - 50
y = 5x + 60
5. Use the equation \( y = 5x + 60 \) to find the cost for 90 units:
y = 5(90) + 60 = 450 + 60 = 510
Answer:
y = 510
1. Identify two given points: (10, 110) and (15, 135).
2. Calculate the slope:
3. Use the point-slope form with point (10, 110):
4. Solve for \( y \):
5. Use the equation \( y = 5x + 60 \) to find the cost for 90 units:
Answer:
Frequently asked questions (FAQs)
Question: In a right triangle, the length of the hypotenuse is 13 cm and the adjacent side is 5 cm. Find the measure of the angle opposite the adjacent side using the SOH CAH TOA rule.
+
Math question: What is the vertex form of the parabolic function y = ax^2 + bx + c, and how does changing the values of a, b, and c affect its graph?
+
Question: In a quadratic equation, if the product of the roots is 15 and the sum of the roots is -5, what is the equation?
+
New questions in Mathematics