Question

A scientist discovers a new way to produce vitamin C. In 15 hours, 678 kilograms are produced. In 25 hours, 1018 kilograms are produced. Write an equation in the form of y = mx + b for how many kilograms, y , are produced in x hours.

Answer 1

Answer:

The equation of the line is $y = 34\cdot x + 168$.

Step-by-step explanation:

According to Analytical Geometry, we know that any equation of the line can be determined by knowing two distinct points on Cartesian plane. From statement we get that:

$y(15\,h) = 678\,kg$ (1)

$y (25\,h) = 1018\,kg$ (2)

By applying the definition of the equation of the line, we form this system of two linear equations with two variables:

$15\cdot m + b = 678$ (3)

$25\cdot m + b = 1018$ (4)

By algebraic mean we get the following solution:

$m = 34\,\frac{kg}{h}$ and $b = 168\,kg$

And the equation of the line is $y = 34\cdot x + 168$.