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Alecsey [184]
3 years ago
10

The table shows the cost of different numbers of yards of the material that Marnie wants to buy. Marine needs 3 yards of the mat

erial. What is the cost?

Mathematics
2 answers:
valentinak56 [21]3 years ago
7 0
It would cost $14.04. The equation for this would be y = 4.68x. If you multiply 3 by 4.68, you would get 14.04.
Liula [17]3 years ago
4 0

Answer:

$14.04

Step-by-step explanation:

Let

x = yards of material

y = cost

The is a linear relationship between y and x that can be represented through the following equation.

y = m.x

where,

m is the slope, representing the cost per yard

If we have any 2 points (x₁, y₁) and (x₂, y₂), we can calculate m using the following expression.

m = y₂ - y₁ / x₂ - x₁

Let's use the first 2 points.

m = ($28.08 - $23.40)/ 6 yard - 5 yard = $4.68/yard

The final equation is

y = $4.68/yard . x

If Marnie wants to buy 3 yards (x = 3 yard),

y = $4.68/yard . 3 yard = $14.04

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3 years ago
Estimate a 15% tip on a dinner bill of $61.53 by first rounding the bill amount to the nearest $10
adelina 88 [10]

well, 61.53 is really 10 + 10 + 10 + 10 + 10 + 10 + 1.53.

well, 1.53 doesn't really come nowhere near close to round up to 10, so it boils down to 0, so 61.53 will just be 10 + 10 + 10 + 10 + 10 + 10 + 0 or just 60 once rounded up, now, what's 15% of 60?

\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 60}}{\left( \cfrac{15}{100} \right)60}\implies 9

well, we can get the 15% of 61.53 by just (15/100) * 61.53

however, the exercise is asking on rounding it up to "tens" first

61.53 has "10" six times plus 1.53, the rounding happens with the "surplus"

in this case the surplus is 1.53.

now, for rounding anything the tipover point is at the half, for $10 the half is $5, so if the amount is $5 or more, rounds up to $10, if less than that goes to 0.

1.53 is nowhere near 5, which is the halfpoint or tipover point, because of that, it rounds up to 0, so 61.53 rounded up to "tens" only will be "six tens" only, or 60.

5 0
1 year ago
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