Mark is buying a car for $5,750. He is able to make a down payment of $1,500 and will be making monthly payments of $250. Write an explicit rule and use the rule to find out how many months it will take Mark to pay off his car.

5750 = 1500 + 250x

17 months

Step-by-step explanation:

Let x represent the number of months it would take to pay for the car

the total cost of the car is a function of the down payment and the monthly payments

$5750 = $1500 + 250x

to solve for x, collect like terms

5750 - 1500 = 250x

4250 = 250x

Divide both sides by 250 to find x

x = 17 months

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system