Which strategy best explains how to solve this problem?

george entered his frog in a jumping contest. the frog jumped 2 feet the first jump. on the second jump, the frog jumped twice as far (4 feet). each time the frog jumped, the jump doubled in length from its previous jump.

how far did the frog jump on the 5th jump?

a.
make a table.

in the first row, write 1st jump - 2 ft. in the next row, write 2nd jump - 2 ft. in the 3rd row, write 3rd jump - 2 ft. continue this pattern until you get to the 5th jump. then add the numbers in the right column to find the number of feet the frog jumped on the 5th jump.

b.
draw a diagram.

draw a line and label it 2 ft. draw a line twice as long and label it 4 ft. do this three more times. keep doubling the distance each time to find how far the frog jumped on the 5th jump.

c.
write a number sentence.

(2 × 5) + 2 + 4 = x
multiply 2 inches by the 5th jump, then add the distances from the first and second jump.

need

Acar started driving from city a to city b, distance between which is 620 miles, at a rate of 60 mph. two hours later a truck left city b and started moving towards city a at a rate of 40 mph. what distance from city a is the point where the truck and the car will meet?

Questions 9-10. use the table of educational expenditures to answer the questions. k-12 education expenditures population indiana $9.97 billion 6.6 million illinois $28.54 billion 12.9 million kentucky $6.58 billion 4.4 million michigan $16.85 billion 9.9 million ohio $20.23 billion 11.6million 9. if the amount of k-12 education expenses in indiana were proportional to those in ohio, what would have been the expected value of k-12 expenditures in indiana? (give the answer in billions rounded to the nearest hundredth) 10. use the value of k-12 education expenditures in michigan as a proportion of the population in michigan to estimate what the value of k-12 education expenses would be in illinois. a) find the expected value of k-12 expenditures in illinois if illinois were proportional to michigan. (give the answer in billions rounded to the nearest hundredth) b) how does this compare to the actual value for k-12 expenditures in illinois? (lower, higher, same? )

Identify the function that contains the data in the following table: x     -2         0         2         3         5     f(x)     5         3         1         2         4     possible answers: f(x) = |x| + 1 f(x) = |x - 2| f(x) = |x - 2| - 1 f(x) = |x - 2| + 1