Question

Which situation can be modeled by the inequality 60−15x≥7?

A.You borrowed $60 from your older brother. You pay him $7 a week and need to pay him back within 15 weeks.

B.You can buy playlists in packages of 15 songs. You have $60 to spend but want to have at least $7 left

C.You owe your parents $60 and plan to pay them $15 a week until you owe them less than $7.

D.You have $60 to spend on hats at the mall, but you need to save at least $7 for lunch. You plan to spend the rest on hats that cost $15 each (including tax).

Answer 1

Option D is correct.

Explanation:

15 multiplied by x = 15x

15x Subtracted from 60= 60-15x

60-15x needs to be greater than or equal to 7

or we can say that 60-15x is at least 7

If we look at the option D

let the number of hats be x

cost of 1 hat =$15

cost of 15 hats = 15x

total money = 60

so money left after buying x hats =60-15x

it should be at least 7

or we can write it as 60-15x >= 7

Answer 2

D

Explanation:

To find a situation for 60−15x≥7, look for a story where 60 is a constant value that is decreasing by 15 for a number of times and where equal to or at least 7 is an option.

A. x would be weeks and it would decrease by 7x. This is not it.

B. 15 songs packages would have x be the number of packages not the price. This is not it.

C. This doesn't work either because if you want to owe them less than 7 it would have the sign < not >.

D. You have 60 to spend and you decrease it by $15 for each hat you buy till you save $7. This is it.