Q14. - Algebra 2

Question

WEATHER For Exercises $13-16$, use the table of record high temperatures $\left({}^{\circ }\text{F}\right)$ for January and July.

$14.$ Write a relation of ordered pairs for the data.

Step-by-Step Solution

Answer

The required relation for the given data is $\left\{\left(88,97\right),\left(70,114\right),\left(88,95\right),\left(72,105\right)\right\}$.

Step 1 – Definition of a relation.

A relation is the set of ordered pairs $\left(x,y\right)$, where x is the input value and y is the output value.

Step 2 – Given information.

The table of record high temperatures $\left({}^{\circ }\text{F}\right)$ for January and July.

Assume that the January temperatures are the domain.

Step 3 – Write the relation in ordered pairs.

It is given that the January temperatures are the domain, so the input values are $88,70,88,72$ and the respective output values are $97,114,95,105$.

 

The ordered pairs for the given data are $\left(88,97\right),\left(70,114\right),\left(88,95\right),$ and $\left(72,105\right)$.

Thus, the required relation for the given data is $\left\{\left(88,97\right),\left(70,114\right),\left(88,95\right),\left(72,105\right)\right\}$.