Cole buys a new laptop for $335. He makes a
down payment of $50 and pays the rest in
6 equal monthly payments, p. What equation
represents the relationship between the cost
of the laptop and Cole's payments?
cost of
laptop
Down
payment
P
P
P
P
P
cost =
x monthly payment
Why are both multiplication and addition used in the
equation that represents Cole's monthly payments?

I need this in ASAP VERY BIG GRADE

335 = 50 + 6p

Step-by-step explanation:

Our grand total is $335. Before the monthly payments even begin, Cole pays $50. This $50 is different from the amount that he pays monthly, which is why we need to add the monthly payments to that number. The monthly payments are equal and are paid six times, which is why the monthly payment is multiplied by 6.

$335 total = $50 down + (6 * monthly payment)

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be