Question

Can somebody help it’s due soon and it’s a major test plz help!

Answer 1

Answer:

Car A ⇔ 50 mph

Car B ⇔ 60 mph

Car C ⇔ 55 mph

Step-by-step explanation:

The equation of the proportionality is y = m x, where m is the constant of proportionality we can find it by using the initial values os x and y or by the rule of the slope of a line m = $\frac{y2-y1}{x2-x1}$

Let us find the constant of proportionality of each car

Car A

∵ The line in the figure passes through points (0, 0) and (1, 50)

∴ x1 = 0 and y1 = 0

∴ x2 = 1, y2 = 50

→ By using the rule of the slope above

∵ m = $\frac{50-0}{1-0}$ = $\frac{50}{1}$

∴ m = 50

∴ The constant of proportionality of car A is 50 mph

Car B

∵ The equation of proportionality is y = m x

∵ From the given table at x = 1, y = 60

→ Substitute them in the equation to find m

∴ 60 = m (1)

∴ 60 = m

∴ m = 60

∴ The constant of proportionality of car B is 60 mph

Car C

∵ The equation is y = 55x

→ Compare it with the form of the equation of the proportionality

∵ y = m x

∴ m = 55

∴ The constant of proportionality of car C is 55 mph