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Both slopes have the same value which is 7.5.
To compute for the slope we will use this formula:
m = y^2 - y^1 over x^2 - x^1
For the first slope, the points are<span> (4, 30) and (12, 90). Substitute and simplify.
m = (90 - 30) over (12 - 4)
m = 7.5
For the second slope, the points are </span><span>(4, 30) and (10, 75). Same with the above computation.
m = (75 - 30) over (10 - 4)
m = 7.5
Since the relationship is linear, the slope does not change. </span>
surface area = 4 x pi x r^2
diameter = 1 so radius = 1/2 = 0.5
4 x 3.14 x 0.5^2 = 3.14 meters^2
$3.50 as a half price is $1.75
If you want 3 orders of popcorn at half price, you would do 1.75*3 which is $5.25
As for drinks, 1.35*3 is $4.05
$4.05 + $5.25 = $9.30.
Let price of the Caleb's groceries was $x.
Given that tax rate is 2.5% or 0.025
Then sales tax is given by product of 0.025 and x.
which is 0.025x.
Given that tax paid is $1.60 so both must be equal
divide both side by 0.025
Hence final answer is $64.
