Question

Please help i don’t understand

Answer 1

Explanation:

we see here :

when ordering 0 shirts, it costs about $10 basic price, that will always be added, no matter how many shirts are ordered.

then we look at the points directly at gridline intersections (we don't need to guess about the values).

we see, 20 shirts cost $50.

and 120 shirts cost $250.

if we consider the $10 basic fee and deduct it from the price, we see that 20 shirts cost shirt-specific $40 and 120 shirts $240. we see a 1:2 relationship.

so, the equation is seemingly

cost(x) = y = 2x + 10

so, 100 shirts cost

cost(100) = 2×100 + 10 = $210

the ordered pair is (x, y) = (100, 210)

Answer 2

(100, 210)

cost of 100 shirts is $210

Explanation:

You are asked to find the cost of 100 T-shirts, given a plot showing costs for other numbers of T-shirts.

Slope

The cost of a T-shirt is represented by the slope of the line through the points on the graph. It will be the same for all numbers of T-shirts. (Here, there is also an added cost not related to the number of T-shirts.)

The slope being the same everywhere means we can equate values of slope computed from different points on the graph.

We see that points are on grid lines for (20, 50) and (120, 250), and we want to find the value of y in (100, y).

If (x1, y1) and (x2, y2) are numbers of T-shirts and their cost, the equation relating the slopes is ...

m = (y2 -y1)/(x2 -x1)

= (y -50)/(100 -20) = (250 -50)/(120 -20)

(y -50)/80 = 200/100 . . . . . simplify

y - 50 = 80(200/100) = 160 . . . multiply by 80

y = 210 . . . . . . . . . . . . . . . . . add 50

This completes the ordered pair for the cost of 100 shirts:

(100, 210)

The meaning of this is that 100 shirts will cost $210.

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