Question

representing real - world quantities in the first quadrant - item 1791 question 7 which set of steps will not get you to the point (1 1/2,4)? starting at the origin, go 1 1/2 units up and then 4 spaces to the right. starting at the origin, go 4 spaces up and then 1 1/2 spaces to the right. starting at the origin, go 1 1/2 spaces to the right and then 4 spaces up. put one finger halfway between 1 and 2 on the x - axis, and put another finger at the 4 on the y - axis. move the first finger up and the second finger to the right until they meet.

Explanation:

Step1: Recall coordinate - point representation

In a two - dimensional coordinate system, a point $(x,y)$ means moving $x$ units along the $x$ - axis (right for positive $x$) and $y$ units along the $y$ - axis (up for positive $y$). For the point $(1\frac{1}{2},4)$, $x = 1\frac{1}{2}$ and $y = 4$.

Step2: Analyze each option

• Option 1: Starting at the origin, going $1\frac{1}{2}$ units up and then 4 spaces to the right will get to the point $(4,1\frac{1}{2})$, not $(1\frac{1}{2},4)$.
• Option 2: Starting at the origin, going 4 spaces up and then $1\frac{1}{2}$ spaces to the right will get to the point $(1\frac{1}{2},4)$.
• Option 3: Starting at the origin, going $1\frac{1}{2}$ spaces to the right and then 4 spaces up will get to the point $(1\frac{1}{2},4)$.
• Option 4: Putting one finger halfway between 1 and 2 on the $x$ - axis (which is $x = 1\frac{1}{2}$) and another finger at 4 on the $y$ - axis and moving them until they meet will get to the point $(1\frac{1}{2},4)$.

Answer:

Starting at the origin, go $1\frac{1}{2}$ units up and then 4 spaces to the right.