Please help, super confused. Thank you.

Question

A swimmer who weighs 130 pounds using a sidestroke burns about 472 calories an hour. A swimmer who weighs 155 pounds using a sidestroke burns about 563 calories an hour.

 

1. On a separate sheet of paper, use these two data points to draw a graph and a line of best fit for the data. Use the graph to approximate how many calories a 190- pound swimmer burns using a sidestroke in an hour and write that here.

2. Write an equation that fits your graph, and explain in words how you found the equation.

3. Use that equation to calculate the number of calories a 190-pound swimmer burns using a sidestroke in an hour.

Answer 1

The given data gives you two points on a graph, where the horizontal axis would be for swimmer body weights, in pounds, and the vertical axis would be for calories 'turned' per hour.

 

1.  That is, (130, 472) and(155, 563) are the given points on a graph. This should enable you to draw the graph (use graph paper, e.g. quadrille paper). Then you can find the point on the line corresponding to weight 190 lbs.

 

2. use the two ordered pairs to calculate slope, and then use the point-slope form of the equation; you may use either one of the given points in this form, and then you can simplify, algebraically, to get into y = mx + b form.  

 

3. Substitute x=190 to calculate the # calories you'd expect this big guy to burn per hour.