Question

Which of the following scenarios is not showing a proportional relationship? A. Jen paid $35 to rent a kayak for 1 hours. Jamal paid $40 to rent a kayak for 2 hours. B. Kai drove 260 miles in 4 hours. The next day. he drove 533 miles in 8.2 hours. C. Lyza can build 15.75 frames in 3-hours. In 8 hours. she builds 36 frames. D. Darelle paid $143.20 for 4 tickets to a show. Bria paid $228.20 for 7 tickets to the same show.

Answer 1

Step-by-step explanation

The scenarios showing proportional relationships will have the same answers when we use the current rate to find the unit rate for both scenarios provided in each option.

Option A

Jen paid $35 for 1 (3/4) hours

$35 = 1.75 hours

Divide both sides by 1.75 to obtain the price per hour

(35/1.75) = (1.75/1.75)

$20 = 1 hour

Jamal paid $40 for 2 hours

$40 = 2 hours

Divide both sides by 2 to obtain the price per hour

(40/2) = (2/2)

$20 = 1 hour

Since both answers are the same, this scenario represents a proportional relationship.

Option B

Kai drove 260 miles in 4 hours

260 miles = 4 hours

Divide both sides by 4 to obtain the number of miles driven per hour

(260/4) = (4/4)

65 miles = 1 hour

The next day, he drove 533 miles in 8.2 hours

533 miles = 8.2 hours

Divide both sides by 8.2 to obtain the number of miles driven per hour

(533/8.2) = (8.2/8.2)

65 miles = 1 hour

Since both answers are the same, this scenario represents a proportional relationship.

Option C