2) The triangles are proportional to each other because, the bigger triangles AB(base) to BC(height) ratio is 8:4, which if simplified would be 4:2, and the smaller triangles is 4:2, which is the same. In other words, both of the triangles are the same.
3) y=0.15x, so the slope is 0.15, and each pencil costs 15 cents, or 0.15 dollar.
4) y=55x, where x=5, so y=55(5)=275. The bus will travel 275 miles in 5 hours.
5) Slope-intercept form : y=mx+b, where m=slope, and b=y-int. So, C = 15t+4 is the equation.
6) Yes, this graph does show a proportional relationship, because it costs $1 for every 10 photos, and this ratio is same for every amount of photos.
8) Olivia: y=2x Matt: y=3x Matt travels at a faster rate, and I know this because Matt walks at 3 miles per hour, while Olivia walks 2 miles per hour, and obviously 3 mph is faster than 2 mph.
Explanation: the total cost if the rental is a linear function of the number of days of the rental (x). Each day costs $25, so that is the slope of the line. Since there is also a one-time fee, independent of the number of days, this amount $50 represents a vertical shift of the line on the graph, by 50. y=25x+50 is an algebraic expression of that.
