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Dan bought x pounds of potatoes for $0.85 per pound and y pounds of grapes for $1.29 per pound. The total cost was less than $5. Which inequality represents his purchase? 1.29x + 0.85y < 5 1.29x + 0.85y > 5 0.85x + 1.29y > 5 0.85x + 1.29y < 5

Respuesta :

Answer:

0.85x + 1.29y < 5

Step-by-step explanation:

0.85x of potatoes

1.29 y of grapes

0.85x+1.29y<5 is required equation

Inequality represents purchase of x pounds of potatoes for [tex]$0.85[/tex] per pound and y pounds of grapes for [tex]\$1.29[/tex] per pound with  total cost was less than [tex]\$5[/tex] is equal to [tex]0.85x + 1.29y < 5.[/tex]

What is linear inequality?

" Linear inequality is defined as the relation between variables with highest exponent one is related with sign of inequality >, < , ≤, ≥."

According to the question,

'x' pounds represents the weight of potatoes

'y' pounds  represents the weight of grapes

Cost of potatoes per pound = [tex]\$0.85[/tex]

Cost of grapes per pound = [tex]\$1.29[/tex]

Total cost used to purchase the items = [tex]\$5[/tex]

Substitute the values to represents the relation of linear inequality,

[tex]0.85x + 1.29y < 5[/tex]

Hence, linear inequality represents Dan purchase is [tex]0.85x + 1.29y < 5.[/tex]

Learn more about linear inequality here

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