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4. Which of the following describes a proportional relationship?
F. Drew paid $2.86 per pound of apples plus $0.10 for a grocery bag.
G. Heather rented a hotel for $110 a night plus $18 a night for valet parking.
H. Carlos bought tires for $250 each with a discount of $50 off his total purchase.
J. Manuel bought three pairs of shoes for $99 each plus a shipping fee of $6.


Sagot :

Answer:

G. Heather rented a hotel for $110 a night plus $18 a night for valet parking

Step-by-step explanation:

A proportional relationship is one that has a constant ratio between two variables

y/x = Constant

From the given options, the one with a proportional relationship is option G.

The amount at which Heather rented a hotel = $110

The amount he pays for valet parking = $18

The total amount Heather pays a night = $110 + $18 = $128

The amount she pays for 2 nights = 2 × $128 = $256

Therefore, we have;

[tex]\begin{array}{cc}x&y\\1&128\\2&256\\3&384\end{array}[/tex]

From which we get;

y/x = 128/1 = 256/2 = 128 = Constant.