Question

number of apples (x) 3 5 8 11 cost (y) $2.37 $3.95 $6.32 $8.69 assume the cost of apples is a linear function of the number of apples purchased. part a write a linear equation that describes the cost of apples, y , in dollars, as a linear function of the number of apples purchased, x .

Answer 1

The linear equation which  describes the cost of apples, y , in dollars, as a linear function of the number of apples purchased x is ,

m = y2 - y1 / x2 - x1.

where the given values are ,

3=x1 , 5=x2, 2.37=y1 ,3.95=y2

Therefore,

m = 3.95 - 2.37 / 5 - 3

=1.58 / 2

0.79

and then ,

y - 2.37 = 0.79( x - 3 )

y=0.79x

A mathematical equation can be defined in a variety of ways. In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal.

3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. In mathematics, the most basic and simple algebraic equations consist of one or more variables.

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