Question

the locations above represents four friends houses in their neighborhood. the locations as points on the coordinate grid with a unit of $\frac{1}{4}$ mile. answer the following questions based on the information given. calculate the following distances. remember each unit is $\frac{1}{4}$ mile. from rob’s house to the jan’s house: \underline{\quad\quad} miles from rebekah’s house to jan’s house. \underline{\quad\quad} miles rob left his house and went to pick up craig from his house. from there he went to pick up rebekah and then to his friend jen’s house, then took them all to his house to have pizza and watch a movie. if each unit on the coordinate plane is 2 blocks, how many blocks did rob travel in total? \underline{\quad\quad} blocks

Explanation:

Step1: Find units between Rob & Jan

Since they share the same y-coordinate, calculate the absolute difference of x-coordinates:
$|5 - (-7)| = 12$ units

Step2: Convert units to miles

Multiply units by $\frac{1}{4}$ mile per unit:
$12 \times \frac{1}{4} = 3$

Step3: Find units between Rebekah & Jan

Since they share the same x-coordinate, calculate the absolute difference of y-coordinates:
$|5 - (-3)| = 8$ units

Step4: Convert units to miles

Multiply units by $\frac{1}{4}$ mile per unit:
$8 \times \frac{1}{4} = 2$

Step5: Calculate total units Rob traveled

1. Rob to Craig: $|5 - (-3)| = 8$ units
2. Craig to Rebekah: $|5 - (-7)| = 12$ units
3. Rebekah to Jan: $|5 - (-3)| = 8$ units
4. Jan to Rob: $|5 - (-7)| = 12$ units

Total units: $8 + 12 + 8 + 12 = 40$ units

Step6: Convert units to blocks

Multiply units by 2 blocks per unit:
$40 \times 2 = 80$

Answer:

From Rob's house to the Jan's house: 3 miles
From Rebekah's house to Jan's house: 2 miles
Total blocks Rob traveled: 80 blocks