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Kareem is using chickpeas, or garbanzo beans, to make two Middle Eastern dishes he will serve guests. He needs [tex]$1 \frac{1}{4}$[/tex] cups of chickpeas to make a dip called hummus. He also needs 2 cups of chickpeas to make each batch of fried balls called falafel.

The function [tex]$g$[/tex] represents the number of cups of chickpeas Kareem needs. What is the rate of change of the function [tex]$g$[/tex]?

[tex]\[ g(x) = 1.25 + 2x \][/tex]

Type the number in the box.

The rate of change of the function [tex]$g$[/tex] is [tex]$\square$[/tex]



Answer :

GinnyAnswer
To find the rate of change of the function [tex]\( g(x) = 1.25 + 2x \)[/tex], we need to identify the coefficient of [tex]\( x \)[/tex] in the given function.

The general form of a linear function is [tex]\( g(x) = mx + b \)[/tex], where:
- [tex]\( m \)[/tex] represents the rate of change (or slope) of the function.
- [tex]\( b \)[/tex] represents the y-intercept, which is the value of the function when [tex]\( x = 0 \)[/tex].

For the function [tex]\( g(x) = 1.25 + 2x \)[/tex]:
- The coefficient [tex]\( m \)[/tex] of [tex]\( x \)[/tex] is [tex]\( 2 \)[/tex].

Thus, the rate of change of the function [tex]\( g(x) \)[/tex] is [tex]\( 2 \)[/tex].

Therefore, the rate of change of the function [tex]\( g \)[/tex] is [tex]\( 2 \)[/tex].

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