Question

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?

Answer 1

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

Answer 2

`7x+5y\leq 10`

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