1 / 4

Nuffield Mathematics Activity Hire a coach

Learn how to calculate total coach hiring cost using Excel graphs. Understand the y-axis intercept and gradient concepts in real-life scenarios. Explore formula variations.

hpreble
Download Presentation

Nuffield Mathematics Activity Hire a coach

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Nuffield Mathematics Activity Hire a coach

  2. Hire a coach The cost of hiring a coach consists of a basic charge of £60 plus £30 per hour. What is the formula for the total charge C when the coach is hired for h hours? In this activity you will use Excel to draw the graphs that represent this and other real-life situations. You will also study how features of the graphs are related to the information used to draw them.

  3. Hire a coach The intercept on the yaxis is the value of ywhere the line meets the vertical axis. It gives the starting value and is equal to the constant in the formula. For example, in the formula for the cost of hiring a coach, C = 60 + 30h,£60 was the basic charge for hiring the coach Thegradient (slope) of a line is a measure of how steep it is. To find the gradient of a line, draw a triangle between 2 points on the line. Then divide the distance in the y direction (dy) by the distance in the x direction (dx). The gradient of the line is equal to the coefficientof x in the formula. In the coach example, h was on the x axis and £30 was the charge rate per hour.

  4. Hire a coach • At the end of the activity • Does it cost twice as much to hire the coach for 4 hours as it does for 2 hours? • How would the ‘Hire a coach’ formula and graph change if the hourly rate went up to £35 an hour? • How would the ‘Hire a Coach’ formula and graph change if the basic charge went down from £60 to £50? • See if you can think of other situations that would produce similar looking graphs. • In general, how do the intercept on the y axis and gradient relate to the formula and the real context?

More Related