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german
3 years ago
11

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bars(s).

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Answer:

(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.  

(c) Based on the line of best fit, for every 10-degree increase in temperature, she should sell 3 more hot dogs.

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