Question

Q.1 - Adam is ordering pizza for a company party that he needs to have catered. Company A charges $8 for each pizza and a delivery/set-up fee of $45. Company B charges $12 for each pizza and a delivery/set-up fee of $5. Which inequality can be used to find x, the least number of pizzas that can be ordered so that the total charge for Company A is less than the total charge for Company B?

A) 8 + 45x > 12 + 5x

B) 8 + 45x < 12 + 5x

C) 8x + 45 < 12x + 5

D) 8x + 45 > 12x + 5


Q. 2 - The cost of a candy bar in a vending machine is $0.95. The cost of a bottle of water in the same machine is $1.25. Jamie has $25.00 to spend on candy bars and bottles of water for her friends. She must buy nine candy bars. If b represents the number of bottles of water, which inequality represents all the possible values of b?

A) 1.25(9) + 0.95b ≥ 25

B) 1.25(9) + 0.95b ≤ 25

C) 0.95(9) + 1.25b ≥ 25

D) 0.95(9) + 1.25b ≤ 25


Q. 3 - Oliver needs to save at least $1500 to buy a computer. He has already saved $650. How much more does he need to save? Write and solve an inequality.

A) x + 650 ≥ 1500; x ≥ 850

B) x + 650 ≤ 1500; x ≤ 850

C) x + 1500 ≤ 650; x ≤ -850

D) x + 1500 ≥ 650; x ≥ -850

Q.4 - Joel's family has four more pets than Brian's family. Together the two families have at least 7 pets. Let x represent the number of pets Brian's family has. Which inequality can be used to find the possible numbers of pets Brian's family has?


A) x + 4 ≥ 7

B) 2x + 4 ≥ 7

C) 2x + 4 ≤ 7

D) 2x - 4 ≥ 7

Answer 1

4. A)
`\displaystyle x + 4 ≥ 7`

3. A)
`\displaystyle x + 650 ≥ 1500; x ≥ 850`

2. D)
`\displaystyle 0,95(9) + 1,25b ≤ 25`

1. C)
`\displaystyle 8x + 45 < 12x + 5`

Step-by-step explanation:

4. Two families combined have at least 3 pets.

3. $1500 is your result, so everything else is straightforward simple, knowing that the keywords at least $1500 mean greater than or equal to $1500.

2. Find the correspondents, then determine what inequality to use. In this case, you will use less than or equal to because overpaying is UNNECESSARY.

1. Eight dollars each pizza and twelve dollars each pizza is 12x and 8x. The rest is straightforward simple because you now have your initial costs of $45 and $5, and the exercise tells you that the total charge for Company A is less than the total charge for Company B, therefore you have your answer.

I am joyous to assist you anytime.

Answer 2

Imma take the points since this is my own question on my other account...lol

Explanation: