Answer:
= 103 - 3n
Step-by-step explanation:
there is a common difference between consecutive terms , that is
97 - 100 = 94 - 97 = 91 - 94 = - 3
This indicates the sequence is arithmetic with explicit equation
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 100 and d = - 3 , then
= 100 - 3(n - 1) = 100 - 3n + 3 = 103 - 3n
We are given dimensions of model and actual figure.
model: 9.5cm actual : 30.5m.
We need to find the length of actual shape for the scale factor 5cm.
Let us assume actual length be x m.
Let us set a proportion now.
<h3>5 : x = 9.5 : 30.5</h3>Let us convert proportion into fractions.
On cross multiplying, we get
9.5x = 5× 30.5
9.5x = 152.5.
On dividing both sides by 9.5, we get
x=16.05.
<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>