Question

time (hours) | distance (miles)2 | 903 | 1354 | 1805 | 225what is the constant of proportionality (in miles per hour) based on the table?options:90245135

Explanation:

Step1: Recall proportionality formula

For distance $d$ and time $t$, $d=kt$, so $k=\frac{d}{t}$.

Step2: Calculate k using first row

Use $t=2$, $d=90$.
$\frac{90}{2}=45$

Step3: Verify with second row

Use $t=3$, $d=135$.
$\frac{135}{3}=45$

Step4: Verify with third row

Use $t=4$, $d=180$.
$\frac{180}{4}=45$

Step5: Verify with fourth row

Use $t=5$, $d=225$.
$\frac{225}{5}=45$

Answer:

45