4. Which of the following describes a proportional relationship?
1 answer:
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;
From which we get;
y/x = 128/1 = 256/2 = 128 = Constant.
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Answer:
No, Matt did not solve the equation correctly
Correct Answer: x = 8
Step-by-step explanation:
4(x + 2) = 30
Step 1: Distribute
4x + 2 = 30 This is his mistake, he should completely distribute 4
to x and 2
Step 2: Subtract 2 from both sides/Isolate x
4x = 28 This part is done correctly, but wrong because of Step 1
Step 3: Divide both sides by 4
x = 7 This is correct, but again, he messed up on Step 1
Step 1: Distribute
Remember to distribute 4 to all terms in the parenthesis.
4(x + 2) = 4(x) + 4(2)
= 4x + 8
4x + 8 = 30
Step 2: Subtract 8 from both sides/Isolate x
Move all the terms that do not belong to x to the other side. We can do this by subtracting 8 from both sides (opposite operation of adding 8)
4x + 8 = 30
4x = 30 - 8
4x = 32
Step 3: Divide both sides by 4/Isolate x
Now we want x by itself. Since x is being multiplied by 4, we have to use the opposite operation, dividing by 4, to have x on one side by itself
4x = 32
4(x) = 32
x = 32 ÷ 4
x = 8
-Chetan K