Please help...
1) (Information in this problem may not be accurate at all) Some fish can’t or shouldn’t be sold at certain ages. It’s not always easy to tell how old a fish is, but we can get a decent estimate based on its size. Betta fish are roughly 0.1 inch when they hatch and grow at a rate of about 0.2 inches per week. Most sellers will sell bettas that are larger than 1 inch but no more than 3 inches long. How old are the bettas that they are selling?
Represent your solutions
a) algebraically and
b) graphically (on a number line)
Answers
Given : Betta fish are roughly 0.1 inch when they hatch and grow at a rate of about 0.2 inches per week.
Most sellers will sell bettas that are larger than 1 inch but no more than 3 inches long.
To Find : How old are the bettas that they are selling
Solution:
fish are roughly 0.1 inch when they hatch and grow at a rate of about 0.2 inches per week.
0.1 inch initially
grown every week = 0.2 inches
grown in x weeks = 0.2x inches
Fish after x weeks = 0.1 + 0.2x
1 < 0.1 + 0.2x ≤ 3
=> 0.9 < 0.2x ≤ 2.9
=> 4.5 < x ≤ 14.5
bettas that they are selling are older than 4.5 weeks but not more than 14.5 weeks old
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