Answer:
$1.25 per day
Step-by-step explanation:
Given
[tex]56- 4y = -5x[/tex]
Required
Determine the rate of change
To do this; first, we make y the subject
[tex]56- 4y = -5x[/tex]
[tex]-4y = -5x - 56[/tex]
Multiply through by -1
[tex]-1*-4y = -1*(-5x - 56)[/tex]
[tex]4y = 5x + 56[/tex]
Divide through by 4
[tex]\frac{4y}{4} = \frac{5x}{4} + \frac{56}{4}[/tex]
[tex]y = 1.25x + 9[/tex]
An equation is generally represented as:
[tex]y = mx + b[/tex]
Where m represents the rate of change.
By comparison:
[tex]m = 1.25[/tex]
Hence, the rate is $1.25 daily
