On Saturday, the fruit and juice bar was selling 23 glasses of fruit punch an hour. By 4 p.m., they had sold 138 glasses. If their goal was to sell at least 276 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?
What are your choices?
23h = 138
h = 6
276 - 138 = 138, so you would need an additional 6 hours at least.
I had the same question but it was that they were selling 30 an hour, and by 7pm they had sold 270 but their goal was to sell 360. Please help! Here were the possible answers:
a. 270 + 360 > 30h
b. 270 + 30h > 360
c. 270 + 30h < 360
d. 30h < 360 + 270
To determine the inequality that can be used to find the number of hours (h) the fruit and juice bar must stay open to achieve their goal, let's go step by step.
We know that the fruit and juice bar sold 23 glasses of fruit punch per hour. So, the number of glasses sold (g) in h hours can be represented as:
g = 23h
We also know that by 4 p.m., they had already sold 138 glasses. Since there are 4 p.m. on Saturday, it means they had been open for h hours. Therefore, we can write an equation:
138 = 23h
Now, we can solve this equation to find the value of h that satisfies the condition.
138 / 23 = h
6 = h
So, by 4 p.m., they had been open for 6 hours.
Finally, the goal is to sell at least 276 glasses of fruit punch. Since they sell 23 glasses per hour, we can calculate the hours needed to reach this goal by setting up an inequality:
23h ≥ 276
Hence, the inequality that can be used to find the number of hours (h) the fruit and juice bar must stay open to achieve their goal is:
23h ≥ 276