Question

i get the concept of slopes and such but i’m not rlly sure how to put a word problem in a graph? can someone please help out?

Answer 1

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Answer:

  see below

Step-by-step explanation:

Read the words down to the point where it says "graph this equation." Then, it's not a word problem anymore—it's a problem of graphing the given equation.

  c = 2t +8

The "y-intercept" is the value of "y" when t=0. It is 8. This is the cost of a pizza with 0 toppings.

The slope is the coefficient of t. It is 2. This is the increase in the cost of a pizza when 1 topping is added. The slope is the cost of a topping.

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Be aware that the grid on this graph shows squares, but the vertical dimension of the square is $2 while the horizontal dimension is 1 topping. That is, a line with a slope of 2 will lie on the diagonal of a grid square.

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Additional comment

We call the point where the graph crosses the vertical axis the "y-intercept." It is called that here, even though "y" is not in the equation or on the graph anywhere. It should rightfully be called the "c-intercept", since the vertical axis shows the value of c, the cost of the pizza.