Jose wants to spend no more than $30 on apples and grapes for the month. Apples cost $1.50 per pound and grapes cost $2 per pound. Jose also wants his monthly caloric intake from apples and grapes to be greater than 2,000 calories. He determines that 1 pound of apples has 200 calories and 1 pound of grapes has 300 calories. Let a

Question

Jose wants to spend no more than $30 on apples and grapes for the month. Apples cost $1.50 per pound and grapes cost $2 per pound. Jose also wants his monthly caloric intake from apples and grapes to be greater than 2,000 calories. He determines that 1 pound of apples has 200 calories and 1 pound of grapes has 300 calories. Let a

represent the number of pounds of apples and g
represent the number of pounds of grapes.

Which system of inequalities can be used to determine the number of pounds of apples and the number of pounds of grapes that Jose can buy for the month?

(1 point)
Responses

2a+1.5g≥30
and 200a+300g<2000
2 A plus 1 point 5 g is greater than or equal to 30 and 200a+300g<2000

2a+1.5g≤30
and 300a+200g>2000
2 A plus 1 point 5 g is less than or equal to 30 and 300 A plus 200 g is greater than 2000

1.5a+2g≥30
and 200a+300g>2000
1 point 5 A plus 2 g is greater than or equal to 30 and 200 A plus 300 g is greater than 2000

1.5a+2g≤30
and 200a+300g>2000
1 point 5 A plus 2 g is less than or equal to 30 and 200 A plus 300 g is greater than 2000

Answer 1

2a+1.5g≥30

and 200a+300g<2000

This system of inequalities can be used to determine the number of pounds of apples and the number of pounds of grapes that Jose can buy for the month.