Question

63POINTS! 1.) Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.

2.) Write the inequality and show all work to solve the inequality.
3.) Explain what your solution means in the context of the problem.

Answer 1

A football team wants to by a football. The football costs $51. There are 11 members of the team. How much will each of the team members contribute to be able to purchase the football if they had $29 already.

Solution: Let the amount each team member contributes be x, then

11x + 29 ≥ 51

11x ≥ 51 - 29

11x ≥ 22

x ≥ 22/11

x ≥ 2

Explanation:

Answer 2

1)

Ola taxi charges a $8 flat rate in addition to $2 per mile. Paul has no more than $10 to spend on a ride.

2)

Let x be the number of miles.

Then, we have inequality:
`8x+2\leq 10`

Solve the inequality:
`8x+2\leq 10`.

Subtract 2 from both the sides:

`8x+2-2\leq 10-2`

Simplify:

`8x\leq 8`

Divide by 8 both sides we get;

`x\leq 1`

as shown in figure 1.

4)

From the context of the problem :

we can say that Paul can travel 1 miles or less before reaching his limit of $10.