Mark and Jessica are each making a linear model to predict the population of squirrels in the town park. The are both using the
2 answers:
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Answer:
There are 9 pizza rolls and 12 mini hotdogs in the meal.
Step-by-step explanation:
We are given the following in the question.
Let x be the number of pizza rolls sold and y be the number of mini hotdogs in the combination meal.
Total number of items in combination meal = 21
Thus, we can write the equation:
Calorie in a pizza roll = 60
Calorie in a mini hotdog = 70
Total calories = 1380
Thus, we can write the equation:
Solving the two equations, we get,
Thus, there are 9 pizza rolls and 12 mini hotdogs in the meal.
Part.1
Given equation:
C(t) = -0.30 (t – 12)²<span> + 40
</span>For t = 0
C(t) = -0.30 (0 - 12)² + 40
C(t) = -0.30 (-12)² + 40
C(t) = -3.2<span>
</span><span>For t = 12 (noon)
C(t) = -0.30 (12 - 12)</span>² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40
<span>For t = 24 (midnight)
</span>C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2
Part.2
Graph of the equation is given in the attachment.
Part.3
C(t) = –0.30(t – 12)²<span> + 40
F(t)=9/5C(t)+32
Substituting the values:
</span>F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104
Given equation:
C(t) = -0.30 (t – 12)²<span> + 40
</span>For t = 0
C(t) = -0.30 (0 - 12)² + 40
C(t) = -0.30 (-12)² + 40
C(t) = -3.2<span>
</span><span>For t = 12 (noon)
C(t) = -0.30 (12 - 12)</span>² + 40
C(t) = -0.30 (0)² + 40
C(t) = 40
<span>For t = 24 (midnight)
</span>C(t) = -0.30 (24 - 12)² + 40
C(t) = -0.30 (12)² + 40
C(t) = -0.30 × 144 + 40
C(t) = - 43.2 + 40
C(t) = -3.2
Part.2
Graph of the equation is given in the attachment.
Part.3
C(t) = –0.30(t – 12)²<span> + 40
F(t)=9/5C(t)+32
Substituting the values:
</span>F(t)=9/5{–0.30 (t – 12)² + 40}+32
F(t) = -0.54 (t – 12)² + 72 + 32
F(t) = -0.54 (t – 12)² + 104