Eric has challenged himself to walk 24,000 steps in 4 days. If Eric walks the same number of steps each day, which function represents the number of steps Eric still needs to walk to reach his goal with respect to the number of days since he started his challenge?
y = 8,000x − 24,000
y = -8,000x + 24,000
y = 6,000x − 24,000
y = -6,000x + 24,000

Respuesta :

If Eric wanted to walk 24,000 steps in 4 days, he would have to walk 6,000 steps each day (24/4=6). The correct answer would be the bottom answer as saying he has already walked 2 days it would be (y=-6,000(2)+24,000) this would simply out to (y=-12,000+24,000) and then (y=12,000). 
fichoh

Using the slope - intercept relation, the function which best models the scenario is y = -6,000x + 24,000

Recall :

  • y = bx + c ; x = number of days walked

Slope, b = number of steps per day = (24000/ 4) = 6000 steps

Since, the steps will reduce per day, then it would be represented as a negative value = - 6000

Intercept value is the total amount of steps to be covered = 24000

Hence, combining the values, the function would become y = -6,000x + 24,000

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