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3 years ago

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The average monthly amount Isabella has spent on gasoline since 1990 is shown in the table. Use the data in the table to complet

e the statements. Let x be the number of years since 1990. The year 2005 corresponds to an x-value of . The function that best models the data, with numerical values rounded to the nearest hundredth, is f(x) = x + 22.08. Models have their limitations. For which year would this model not make sense to use?

2 answers:

RUDIKE [14]3 years ago

5 0

Answer 1: 15
Answer 2: 11.55
Answer 3: 1985

amm18123 years ago

4 0

15,11.55,and 1985
Hope this helps

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Which of the following statements is true?

lesantik [10]

Answer:

If all four angles of a rectangle have the same measure, then it is a square.

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3 years ago

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The side of a square is 2.5 cm. Find its perimeter and area.

Neko [114]

Answer:

Perimeter = 10 cm

Area = 6.25 cm²

Step-by-step explanation:

$\bf \: Given :$

$\sf \: Side \: of \: the \: square = 2.5 \: cm$

$\bf \: To \: find:$

$\rightarrow \sf \: Perimeter$

$\sf\rightarrow Area$

$\bf \: Solution :$

$\rm \: First \: w e \: need \: to \: find \: out \: the \: perimeter \: o f \: it.$

So to find the Perimeter of the square, we'll use this formula :

$\boxed{ \sf\longrightarrow \: Perimeter = 4 \times side}$

$\bf \: Step \: 1 : \rm \: Put \: the \: value \: of \: side \: of \: the \: square :$

$\sf\longrightarrow \: Perimeter = (4 \times 2.5)cm$

$\bf \: Step\;2 : \rm Multiply :$

$\sf\longrightarrow \: Perimeter = 10 \: cm$

Hence, the perimeter would be 10 cm .

$\rule{225pt}{2pt}$

$\sf \: Now,\; let's\; find \: the \: Area .$

We know that the formula of Area to find the square is,

$\boxed{ \sf \longrightarrow \: Area = (side) {}^{2} }$

Note : The answer would always be in cm².

$\bf Step\; 1 :\rm Put\; the\; value \; of\; side \; of \; the\; square :$

$\sf\longrightarrow{Area} = (2.5) {}^{2} \: cm {}^{2}$

$\sf\longrightarrow{Area} = (2.5 × 2.5 ) \: cm {}^{2}$

$\bf \: Step\;2 : \rm Multiply :$

$\longrightarrow\sf \: Area = 6.25 \: cm {}^{2}$

Hence, the area of the square would be 6.25 cm².

<em>We are done !</em>

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

:D

3 0

3 years ago

Vanessa and Dominic are buying chicken for a barbecue. The table shows prices for different packages of chicken.

pishuonlain [190]

24-1 = 23

6-1/4 = 5 3/4

23/5 3/4 = 4

The constant is 4, so Vanessa is correct

The answer is:

D. Vanessa is correct because the quotient when dividing the values in the bottom row by the values in the top row is always 4.

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3 years ago

A 10p coin weighs 6.5g. What is the weight of a bag of 10p coins worth £3.50?

hichkok12 [17]

Answer:

227.5 grams

Step-by-step explanation:

We know that a single 10p coin weights 6.5 g

Now we want to find the weight of a bag of 10p coins, such that the net value is £3.50 (where the weight of the bag is neglected)

The value of a 10p coin is £0.10

So the first thing we need to find, is how many coins there are in the bag.

To find that, we need to find the quotient between the total value and the value of a single coin:

£3.50/£0.10 = 35

So in the bag, we have 35 coins, and each one of them weighs 6.5 grams

Then the total weight is 35 times 6.5 grams:

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3 years ago

The height of a ball kicked in the air is modeled by the equation h(t) = -2t^2 +8t +24, where h is the height of the ball in fee

Setler79 [48]

Answer:

Step-by-step explanation:

The rate of change in any function is the slope of the line between 2 points. Our points are t = 2 and t = 5. But we know that the slope formula also involves the h's for each of those t's. We need to find them first. The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$ , but for us it will look like this (fittted to our needs):

$m=\frac{h_2-h_1}{t_2-t_1}$ . So we need to find those h's.

when t = 2, plug in a 2 for t and solve for h.

Therefore, $h(2)=-2(2)^2+8(2)+24$ and

h(2) = 32 and in coordinate form, (2, 32).

When t = 5, plug in a 5 for t and solve for h.

Therefore, $h(5) =-2(5)^2+8(5)+24$ and

h(5) = 14 and in coordinate form, (5, 14). Now we can plug into our slope formula:

$m=\frac{14-32}{5-2}=\frac{-18}{3}=-6$ , choice B.

The rate of change is -6 which, in words, means that the ball fell 6 feet every 1 second it fell.

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3 years ago