The students in a science class constructed bridges made from toothpicks and glue. each bridge was made following these rules: each bridge used the same number of toothpicks. the width of each bridge was the same. the length of each bridge could vary. students recorded the maximum number of pennies each bridge could hold in a cup hanging from the center of the bridge before breaking. they called this number the breaking weight. the function f(x) = -6x + 136 represents the breaking weight of the pennies, f(x), in terms of bridge length, x. what is the change of the breaking weight of the pennies for each increase in one unit of the length of the bridge?

Question

09-05-2022
Mathematics

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The students in a science class constructed bridges made from toothpicks and glue. each bridge was made following these rules: each bridge used the same number of toothpicks. the width of each bridge was the same. the length of each bridge could vary. students recorded the maximum number of pennies each bridge could hold in a cup hanging from the center of the bridge before breaking. they called this number the breaking weight. the function f(x) = -6x + 136 represents the breaking weight of the pennies, f(x), in terms of bridge length, x. what is the change of the breaking weight of the pennies for each increase in one unit of the length of the bridge?

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jainveenamrata jainveenamrata · Answer 1 · 2022-05-13T08:17:26+02:00

If the length of the bridge is increased by one unit. Then the breaking weight of the pennies decreases by 6.

What is a function?

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The students in a science class constructed bridges made from toothpicks and glue.

Each bridge was made following these rules: each bridge used the same number of toothpicks.

The width of each bridge was the same.

The length of each bridge could vary.

Students recorded the maximum number of pennies each bridge could hold in a cup hanging from the center of the bridge before breaking.

They called this number the breaking weight.

The function f(x) = -6x + 136 represents the breaking weight of the pennies, f(x), in terms of bridge length, x.

Then the change of the breaking weight of the pennies for each increase in one unit of the length of the bridge will be

If the length of the bridge is increased by one unit, then the function will be

f(x + 1) = -6(x + 1) + 136 = -6x + 130

Then subtract f(x) from f(x + 1), then we have

f(x + 1) - f(x) = -6x + 130 - (-6x + 136)

f(x + 1) - f(x) = -6x + 130 + 6x - 136

f(x + 1) - f(x) = -6

If the length of the bridge is increased by one unit. Then the breaking weight of the pennies decreases by 6.

More about the function link is given below.

https://brainly.com/question/5245372

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