The table is attached.
A) The gasoline consume grows as the distance traveled increases. This means that the two quantities are directly proportional.
Therefore, the proportionality constant is given by:
k = gasoline / distance
= 2 / 40
= 0.05
We could have used also:
k = 3 / 60
= 0.05
In order to find the gasoline consumed, you need to multiply the distance by the proportionality constant:
30 × 0.05 =
1.555 × 0.05 =
2.75In order to find the distance traveled, you need to divide the gasoline consumed by the proportionality constant:
3.5 ÷ 0.05 =
70B) The function of the proportionality found is:
y = 0.05·x
where:
x = distance
y = gasoline
Therefore:
y = 0.05·110 = 5.5
Femi for a trip of 110 miles expects to use
5.5 gallons of gasoline.
the correct answer would be -5/12
Answer:
32
Step-by-step explanation:
2(2.5z − 58 + 43) = 176− 46
5z - 116 + 86 = 130
5z -30 = 130
5z = 160
z = 160/5
z = 32
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40
Answer:
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Step-by-step explanation:
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