It costs $3.50 for 25 fl. oz. of detergent. Which graph models a relationship with the same unit rate?

Responses
A

Detergents
Cost (cents)

Amount of Detergent (fl.oz.)
Detergents Cost (cents) Image with alt text: Amount of Detergent (fl.oz.)
B

Detergents
Cost (cents)

Amount of Detergent (fl.oz.)
Detergents Cost (cents) Image with alt text: Amount of Detergent (fl.oz.)
C
Detergents
Cost (cents)

Amount of Detergent (fl.oz.)

Detergents
Cost (cents)

Amount of Detergent (fl.oz.)

Detergents
Cost (cents)

Amount of Detergent (fl.oz.)
Detergents Cost (cents) Amount of Detergent (fl.oz.) Detergents Cost (cents) Amount of Detergent (fl.oz.) StartFragment Detergents Cost (cents) Image with alt text: Amount of Detergent (fl.oz.)
D
Detergents
Cost (cents)

Amount of Detergent (fl.oz.)

1 answer

To determine which graph models a relationship with the same unit rate as $3.50 for 25 fl. oz. of detergent, we first need to find the unit rate.

  1. Calculate the unit rate:
    • Convert the cost into cents: $3.50 = 350 cents.
    • Calculate the cost per ounce: \[ \text{Unit Rate} = \frac{350 \text{ cents}}{25 \text{ fl. oz.}} = 14 \text{ cents per fl. oz.} \]

Now, you should look for a graph that represents the relationship where the cost increases consistently by 14 cents for every additional fluid ounce.

If the options provided (A, B, C, or D) show a straight line graph that starts from the origin (0,0) and has a slope of 14 cents per fl. oz., then that is the correct graph.

Without being able to see the graphs directly, I suggest you look for:

  • A linear relationship that starts at (0,0).
  • A slope that indicates an increase of 14 cents for every 1 fl. oz. increase.

If you can match any of the graphs to these criteria, you would have found the one that models a relationship with the same unit rate.