Mathematics: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bars(s).A hot dog vendor at the zoo recorded the average temperature in degrees, x, and the average number of hot dogs she sold, y.The equation for the line of best fit for this situation is shown below. y=3/10x+8Based on the line of best fit, complete the given statements.The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.If the vendor sold 35 hot dogs, the

Type the correct answer in each box. Use numerals

apgg303

21.01.2022

(a)23 (b)90 (c)3

Step-by-step explanation:

The equation for the line of best fit for this situation is given as

$y=\frac{3}{10}x+8$

where x=average temperature in degrees

y=average number of hot dogs she sold,

(a) The expected number of hot dogs sold when the temperature is 50° would be___hot dogs.

When x=50°

$y=\frac{3}{10}X50+8=15+8=23$

When the temperature is 50°, the expected number of hot dogs sold would be 23.

(b)If the vendor sold 35 hot dogs, the temperature is expected to be ___degrees.

If y=35

$35=\frac{3}{10}x+8\\35-8=\frac{3}{10}x\\27=\frac{3}{10}x$

Multiply both sides by 10/3

$27 X \frac{10}{3}= \frac{3}{10}x X \frac{10}{3}\\x=90^{0}$

If the vendor sold 35 hot dogs, the temperature is expected to be 90 degrees.

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