your club is in charge of making pins that students can buy to show their school spirit for the upcoming football game. you have made 225 pins so far, and you only have 120 minutes left to make the rest of the pins. you need to make at least 400 pins.

a. write an inequality that gives the possible numbers (p) of pins you have to make per minute in order to exceed your goal.
b what are the possible numbers of pins you have to make per minute in order to exceed your goal?

a. 120p> 175

b. p> 1.46

225 pins made, 400 pins needed

400 - 225 = 175 left to make
120 min to make 175 pins

a. 120p > 175
b. p > 1.46

to check,
120 min * 1.46 pins/min = 175.2 pins

I am not a tutor

i like pie that is the answer and the other people are wrong because i showed this to my teacher and she made me skip a grade

a. The inequality that gives the possible numbers (p) of pins you have to make per minute in order to exceed your goal is: 120p + 225 < 400.

b. To find the possible numbers of pins you have to make per minute in order to exceed your goal, we can rewrite the inequality in terms of p:

120p < 400 - 225
120p < 175

Now, divide both sides by 120 to isolate p:

p < 175/120
p < 1.46

Therefore, the possible numbers of pins you have to make per minute in order to exceed your goal is any number less than 1.46. Since it doesn't make sense to have a fraction of a pin, you would need to make at least 2 pins per minute to exceed your goal.

a. To write the inequality, let's define the variable p as the pins per minute. Since you need to make at least 400 pins and have 120 minutes left, the inequality would be:

p * 120 + 225 ≥ 400

b. Now, let's solve the inequality to find the possible numbers of pins you have to make per minute in order to exceed your goal:

p * 120 + 225 ≥ 400

Subtract 225 from both sides:

p * 120 ≥ 400 - 225

p * 120 ≥ 175

Divide both sides by 120:

p ≥ 175 / 120

Simplify the right side:

p ≥ 1.4583...

Since it doesn't make sense to have a fraction of a pin, we can round up to the nearest whole number:

p ≥ 2

Therefore, you need to make at least 2 pins per minute in order to exceed your goal.