Question

A person travelled 2640 ft. Then, he travels at a constant speed of 2 mi for every 1 h. Write the equation for the distance travelled by him.

• A. y = 2x + 30
• B. y = 2x + 30
• C. y = 2x + 0.5
• D. y = 2x + 5

Answer 1

The correct option is C y = 2x + 0.5

Distance covered by the person for every 1 h = 2 mi = Rate of change

∴ Slope (m) = unit rate of change = 2

Initial distance covered by the person (b) = 2640 ft = 0.5 mi

The slope intercept equation is written $\text{as:}y=mx+b$

Substituting the values of m and b there, we get:
$y=2x+0.5$

Therefore, the equation for the distance covered by the person is y = 2x + 0.5.