QUESTION IMAGE
Question
- 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)
| x | y |
|---|---|
| 0 | 14 |
| 15 | 10 |
| 52.5 | 0 |
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 $0 + 210=C$.
$C = 210$
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$210$