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8. a linear relationship exists between x and y that can be written as …

Question

  1. a linear relationship exists between x and y that can be written as 4x + 15y = c, where c is a constant. the table gives some values of x and their corresponding values of y. find the value of c.

(2 points)

xy
014
1510
52.50

Explanation:

Step1: Substitute values of x and y

We can take any pair of (x,y) values from the table. Let's take x = 0 and y = 14. Substitute into 4x + 15y = C.
$4\times0+15\times14 = C$

Step2: Calculate C

First, calculate $4\times0 = 0$ and $15\times14=210$. Then $0 + 210=C$.
$C = 210$

Answer:

$210$