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Adam plans a diet for his dog, Louie. Louie consumes between 510 and 540 calories per day. If Louie eats 1 1/2 servings of dog food each day, how many treats can Louie have?

Dog Food 320 Calories per serving
Treats 10 Calories per treat

Write and solve a compound inequality to represent this situation. Let x represent the number of treats Louie can have each day.

User FieryCod
by
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1 Answer

2 votes

Answer:

The compound inequality is
510 \leq 10x+480 \leq 540


3 \leq x \leq 6

Explanation:

Let

x -----> represent the number of treats Louie can have each day

step 1

Find the number of calories for 1 1/2 serving of dog

1 1/2=1.5

one serving is 320 calories

so

1.5*320=480 calories

step 2

Find the compound inequality

The compound inequality is


510 \leq 10x+480 \leq 540

Divide in two inequalities


10x+480\geq 510 ------> inequality A


10x\geq 510-480


10x\geq 30


x\geq 3\ treats


10x+480\leq 540 -----> inequality B


10x\leq 540-480


10x\leq 60


x\leq 6\ treats

therefore

The compound inequality is equal to


3 \leq x \leq 6

User Hiren Patel
by
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