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.

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 :-)

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %