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The equation y = 20 − x/4


gives the number of pounds of dog food y remaining in a bag x days after it is opened. Determine whether the relationship between x and y is linear. Explain your reasoning.

yes or no the relationship between x and y is linear. The equation can be rewritten as y = − 1/4x+___

which is in the form y = mx + b.

Respuesta :

kevinbentch

Answer:

This is a linear equation that can be written as: y = -1/4x + 20

Step-by-step explanation:

This is a linear equation because it can be written in the form y = mx + b.

If you take the equation and solve it for 0, 1, 2, 3 days, note the solution:

f(x) = -1/4x + 20

f(0) = 20

f(1) = -1/4(1) + 20 = 19.75 lbs remaining

f(2) = -1/4(2) + 20 = 19.50 lbs remaining

f(3) = -1/4(3) + 20 = 19.25 lbs remaining.

Each day, the amount is less by exactly 1/4 or .25 lbs. This creates a straight line on the graph, which is a linear equation.

Hope this helps!! Have an Awesome day!!! :-)