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A grocery store sells almonds for $7/lb and peanuts for $5/lb. Let x represent the number of pounds of almonds, and let y represents the number of pounds of peanuts. Which inequality can be used to find how much of each type of nut can bought without spending more than $10?

Verified Answer :

Mkerry99

If it wants an equation it would just be 10 > (or equal to) 7x + 5y

calculista

Answer:

\(7x+5y\leq 10\)

Step-by-step explanation:

Let

x------>the number of pounds of almonds

y-----> the number of pounds of peanuts

we know that

\(7x+5y\leq 10\) ---> inequaklity that represent the situation

The solution is the shaded area below the solid line for x and y positive values

The equation of the solid line is \(7x+5y= 10\)

The slope of the line is negative

The y-intercept of the line is the point  \((0,2)\)

The x-intercept of the line is the point  \((1.429,0)\)

using a graphing tool

see the attached figure

View image calculista

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