Respuesta :

Answer:

PART A

The amount of snowfall and number of trucks is proportional.

Because the increase in snowfall, increases the number of trucks sent out as read from the table.

PART B

[tex] let \: the \: number \: of \: tracks \: be \: x\\ by \: linear \: extrapolation \\ \binom{inches \: \: \: \: 12 \: \: 18 \: \: 23}{trucks \: \: \: \: 30 \: \: 45 \: \: x} \\ \frac{23 - 12}{x - 30} = \frac{18 - 12}{45 - 30} \\ \frac{11}{x - 30} = \frac{6}{15} \\ 11 \times 15 = 6(x - 30) \\ 165 = 6x - 180 \\ 6x = 165 + 180 \\ 6x = 345 \\ x = 57.5 \\ x = 58 \: trucks \\ hence \: 58 \: trucks \: were \: sent \: out[/tex]

Answer:

PART A

The amount of snowfall and number of trucks is proportional.

Because the increase in snowfall, increases the number of trucks sent out as read from the table.

PART B

Let the number of tracks be x

By linear extrapolation, we get

inches | 12 | 18 | 23

trucks | 30 | 45 | x

(23 - 12)/(x - 30) = (18 - 12)/(45 - 30)

(11)/(x - 30)=6/15

11×15 = 6(x - 30)

165 = 6x - 180

6x = 165 + 180

6x = 345

x = 57.5

x = 58 trucks

Hence, 58 trucks were sent out.