Cesar is making a model of the eiffel tower. the height of the tower is 984 feet, and cesar wants to make a 1.5-foot
model.
what scale should cesar use? find the scale in inches to feet. round your answer to the nearest tenth of a foot.
1 inch =
feet

See below

Step-by-step explanation:

First, lets see how many feet of the original Eiffel tower (O) are represented in 1 foot of Caesar's tower model (M). We know that 1.5 foot is equal to 984 feet of the original, so we can say:

1.5 M = 984 O, this is our equivalence.

Now divide both sides by 1.5

1.5 M / 1.5 = 984 O / 1.5

1 M = 656 O

So, 1 foot of Cesar's Model is 684 feet of the original tower. We also know that 1 foot is equal to 12 inches, so we can say that 12 inches of Cesar Model (12 m) are equivalent to 656 feet of the original tower. So:

12 m = 656 O

If we divide both sides by 12:

m = 656/12 O

m = 56.67

So, 1 inch in Cesar's model represent 56.67 feet of the original Eiffel Tower.

Lets verify our result by multiplying 56.67 by 12 to get 1 feet and then by 1.5 to get the measure of the model:

56.67*12*1.5 = 984 feet, which is the height of the Eiffel tower.

Scale: 1 inch = 56.67 feet

step-by-step explanation:

the shape,the size and the distance

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.