Question

A 2-column table with 5 rows. column 1 is labeled miles with entries 1, 4, 7, b, 15. column 2 is labeled minutes with entries 7, 21, a, 70, c. martin�s running ability is measured by this proportion: startfraction 1 over 7 endfraction = startfraction 3 over 21 endfraction use the proportion to identify the values of the variables that complete the rate table

Answer 1

To complete the rate table, use the given proportion 1/7 = 3/21. Solve for the variables a, b, and c in the second column by cross multiplying. The completed rate table should have values of 21, 105, and 105 for a, b, and c respectively.

Step-by-step explanation:

To complete the rate table, we can use the given proportion 1/7 = 3/21. We need to find the values of the variables a, b, and c in the second column. We can solve for a by cross multiplying: 1 * a = 7 * 3. Therefore, a = 21.

Similarly, we can solve for b and c. To find b, we use 1 * b = 7 * 15, which gives us b = 105. And to find c, we use 4 * c = 21 * 15, which gives us c = 105.

The completed rate table is as follows:

MilesMinutes174217632110515105

Answer 2

By using the proportion, the values of the variables that complete the rate table include;

a = 49.

b = 10.

c = 105.

In Mathematics and Geometry, a proportional relationship is a type of relationship that passes through the origin (0, 0) and produces equivalent ratios as represented by the following mathematical equation:

y = kx

Where:

• y represents the y-variable or distance (miles).
• x represents the x-variable or time (minutes).
• k is the constant of proportionality.

Since the constant of proportionality is 1/7, an equation that models the proportional relationship can be written as follows;

y = 1/7(x)

When y is 7, the value of a is given by;

7 = a/7

a = 7 × 7

a = 49.

When x is 70, the value of b is given by;

b = 1/7(70)

b = 10.

When y is 15, the value of c is given by;

15 = c/7

c = 15 × 7

c = 105.

Complete Question:

Martin's running ability is measured by this proportion:

1/7 = 3/21

Use the proportion to identify the values of the variables that complete the rate table

a =

b =

c =