The organizers of a walkathon get cost estimates from twoprinting companies to p

Question

The organizers of a walkathon get cost estimates from twoprinting companies to print brochures to advertise the event. The3 costs are given by the equations below, where C is the cost indollars and n is the number of brochures Company A: C = 15+0.10n Company B: C = 0.25n A) What information does the y-intercept represent for eachequation? B) What information does the coefficient of n represent foreach equation? The organizers of a walkathon get cost estimates from twoprinting companies to print brochures to advertise the event. The3 costs are given by the equations below, where C is the cost indollars and n is the number of brochures Company A: C = 15+0.10n Company B: C = 0.25n A) What information does the y-intercept represent for eachequation? B) What information does the coefficient of n represent foreach equation?

Explanation / Answer

The structure of a linear equation is y = mx + b where m is theslope or coefficient of the line, and b is the y-intercept of theequation, which means the place on a graph where the lineintercepts the y-axis (vertical axis) when x=0. Company A has a cost of $15 + $0.10*n where n is the number ofbrochures that are made. The y intercept is 15, and thecoefficient of the variable n is 0.10. Company B has a cost of $0.25*n where n is the number of brochuresmade. The y intercept is not given, so it is known to be 0,and the coefficient of the variable is 0.25. If you look at it in terms of money, you can see that one companyrequires an initial payment, and then a little bit perbrochure. The other company does not require an initialpayment, and just charges a set amount per brochure. Based onthis, you can tell what the individual parts of the equationsmean.

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