Hi there! To write a equation of a graph, we must follow the formula y = mx + b, where m is the slope and b is the y-intercept. In this scenario, we can utilize this formula to get our answer. First, let's take a look at the y-intercept. To find this, we need to take a look at the graph. We can see that the line crosses the y-axis at the point (0,250). Hence, 250 will be our y-intercept. Now, we can move on to the slope. This can be found by first taking two points from our graph. Here are the two points I'll be using - (0,250)(2,200). Now, use the slope formula, which goes as m = y₂ - y₁ / x₂ - x₁. All we have to do is plug in the respective values from the coordinate points. We get -
m = 200 - 250 / 2 - 0 m = -50 / 2 m = -25
Using the information we have derived, we can construct the equation y = -25x + 250. Usually, the answer should be written in standard form, which goes as Ax + By = C, where A, B, and C are numbers. Therefore, to derive y = -25x + 250 into standard format, we must add 25x to both sides. This gives us y + 25x = 250. Hope this helped and have a marvelous day!
The independent variables are the cost for one ticket and the number of student tickets. The cost of the tickets depends on the number of student tickets being purchased. The equation would be c = 7s.
