Algebra 1 - One question, I'm not sure how to solve and it's worth 4 marks. That means there are 4 things I must include in my answer, but I don't know what they are.

Question

The price of a public metro ride rose from $2 to $2.50. If you graphed the

function f(x) = the cost of x metro rides, how would the graph change

after the fare rose?

Answer 1

Hello, Squish,

f(x) is defined as the cost of x metro rides. When the price was $2/ticket, the function would be:

f(x) = 2x

Where x is the number of tickets purchased and the 2 is the $/ticket cost. When prices are $2/ ticket, multiply by the number of tickets purchased. This would be a straight line with slope of 2 and a y intercept of 0.

When tickets go to $2.50 each, the line becomes:

y = 2.5x

Again the y-intercept is 0. But the slope is now 2.5. So the slope, or steepness of the graph would change at the time the prices went up.

Bob

Answer 2

The F(x) was F(x) = 2x and now the F(x) = 2.5x because the price of the ticket changed from 2 to 2.5

If you were to graph the line for F(x) = 2x you would have a straight line from 0,2,4,6,8,10,....

The new graph for F(x) = 2.5x would still be straight but sharper as the slope has changed, now you have points at 0, 2.5, 5, 7.5, 10....