7.20: Math Models Unit

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What is the common difference in the sequence 50, 40, 30, 20, 10,... ?

-10

The scale factor of a model of a grain silo to the actual silo is 1 to 10. The volume of the actual silo is 550 m3 .What is the volume of the model?

0.55 m3

The function f(x) varies inversely with x and f(x)=8 when x = 3.What is f(x) when x = 2?

12 x=3-->f(x)=8 f(x)x X=k 8x3 k=24 f(x)=24/x for x=2 sub the equation f(x)=24/2=12

What is the value of the element at h21 ? h(6 52 -4 15 9 75 -1 23 2)

15

The scale factor of the blueprint of a gymnasium to the actual gymnasium is 1 in15 ft . The area of the floor on the blueprint is 114 in2 .What is the area of the actual gymnasium?

25,650 ft2

Which name is a correct way to name the tiling? looks like a blue berry with 7 circles

3 , 12^2

The function f(x) varies directly with x and f(x)=160 when x = 40. What is f(x) when x = 8?

32 160/40=f(x)/8 4= f(x)/8 4x8=f(x) 32=f(x)

The graph of an arithmetic sequence is shown. What is the value of the third term?

4.5

Which transformations map the strip pattern onto itself? shaped like green shark waves triangle sideway wave green

a horizontal translation and a glide reflection

The growth of a bug population shows a geometric sequence as shown in the table.This pattern continues indefinitely. What will the population be on Week 22? week 1 2 3 population 450 630 882

about 527,110

Is this sequence arithmetic, geometric, or neither? 4, 8, 16, 32, 64,.

geometric

The pressure of a gas p(v) varies inversely with the volume of the gas v. The pressure of a gas measures 15 kg/cm2 when its volume is 300 cm3 .Which equation can be used to find the pressure of the gas when the volume is changed?

p(v)=4500/v