Answered

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Barney and Robin went shopping at H&M. The store was having a sale on all shirts and pants. Barney spent $70 on 3 shirts and 2 pairs of pants and Robin bought 1 shirt and 4 pairs of pants for $90. d) Use a graphing calculator, to graph your equations in parts a and b. What is the coordinate point where these two lines intersect? How does this compare to your response in part c?

Sagot :

Barney spent $70 on 3 shirts and 2 pairs of pants

Robin bought 1 shirt and 4 pairs of pants for $90

Let x be the cost for each shirt

Let y be the cost for each pair of pants

3x+2y=70 (1)

x+4y=90 (2)

Having this system of equations, we can graph on the graph calculator:

The solution of two linear equations corresponds to the intersection of the two lines because the coordinate pair naming every point on a graph is a solution to its corresponding equation:

In this case the solution is: (10, 20) and corresponds to the cost of the shirt and pant.

Shirt: $10

Pant:$20

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