Question

write an equation to represent the relationship, and find the amount of peanut butter used to make 25 cracker packages. the table is peanut butter (tbsp) 1/2,5/8,3/4,7/8, the bottom is cracker packages 2,2 1/2,3,3 1/2.

Answer 1

We are given 4 points.

$(\frac{1}{2},2)$

$(\frac{5}{8},\frac{5}{2})$

$(\frac{3}{4},3)$

$(\frac{7}{8},\frac{7}{2})$

Using this, we can make an equation.

$y=4x$

I got $m=4$ by using the slope formula.

$m=\frac{2.5-2}{0.625-0.5}$

$m=\frac{0.5}{0.125}$

$m=4$

So the equation we have is $y=4x$

Now, we can solve for how much peanut butter is used to make 25 packages by plugging in 25 for $y$, which is the number of cracker packages.

$25=4x$

$x=\frac{25}{4}$

We need to use $\frac{25}{4}$ teaspoons of peanut butter to make 25 packages of crackers.

Hope this helps.

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